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mathematics
precalculus 1st

Questions and Answers of Precalculus 1st

For the following exercises, find the x- or t-intercepts of the polynomial functions.f(x) = x3 + 2x2 − 9x − 18
For the following exercises, find the inverse of the functions. f(x)=√2x+1
For the following exercises, plot the complex numbers on the complex plane.−3 − 4i
For the following exercises, determine the end behavior of the functions. f(x) = x4
For the following exercises, write an equation describing the relationship of the given variables.y varies jointly as x, z, and w and when x = 1, z = 2, w = 5, then y = 100.
For the following exercises, find the domain, vertical asymptotes, and horizontal asymptotes of the functions. f(x)= = x+5 x²-25
For the following exercises, determine whether there is a minimum or maximum value to each quadratic function. Find the value and the axis of symmetry.f(x) = 4x2 + x − 1
For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial function and one factor.f(x) = 2x3 + 3x2 + x + 6; x + 2
For the following exercises, use synthetic division to find the quotient.(4x3 − 12x2 − 5x − 1) ÷ (2x + 1)
For the following exercises, find the x- or t-intercepts of the polynomial functions.f(x) = 2x3 − x2 − 8x + 4
For the following exercises, perform the indicated operation and express the result as a simplified complex number.(3 + 2i) + (5 − 3i)
For the following exercises, find the inverse of the functions. f(x)=√3-4x
For the following exercises, determine the end behavior of the functions. f(x) = x3
For the following exercises, write an equation describing the relationship of the given variables.y varies jointly as the square of x and the square of z and when x = 3 and z = 4, then y = 72.
For the following exercises, find the domain, vertical asymptotes, and horizontal asymptotes of the functions. f(x) = x 4 9-x
For the following exercises, determine whether there is a minimum or maximum value to each quadratic function. Find the value and the axis of symmetry.h(t) = −4t2 + 6t − 1
For the following exercises, determine end behavior of the polynomial function. f(x) = 2x²(1 + 3x - x²)
For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial function and one factor.f(x) = −5x3 + 16x2 − 9; x − 3
For the following exercises, find the inverse of the functions. f(x)=9+√4x - 4
For the following exercises, perform the indicated operation and express the result as a simplified complex number.(−2 − 4i) + (1 + 6i)
For the following exercises, determine the end behavior of the functions. f(x) = −x4
For the following exercises, write an equation describing the relationship of the given variables.y varies jointly as x and the square root of z and when x = 2 and z = 25, then y = 100.
For the following exercises, use each set of data to calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to 3 decimal places of
In 2004, a school population was 1250. By 2012 the population had dropped to 875. Assume the population is changing linearly.a. How much did the population drop between the year 2004 and 2012?b. What
For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.f(−5) = −4, and f(5) = 2
For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025
For the following exercises, consider this scenario: In 2000, the moose population in a park was measured to be 6,500. By 2010, the population was measured to be 12,500. Assume the population
For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?Use algebra to
For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.(2, 4) and (4, 10)
For the following exercises, match the given linear equation with its graph in Figure 24.f(x) = −1/2 x − 1 where 4- -32 pogg B gg nggan dingings ng Figure 24 DI
For the following exercises, find the slope of the lines graphed. # --6-5 10 # ... x 4
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year.In what year
For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. The following ordered pairs show the number of units sold in hundreds and the
For the following exercises, use the median home values in Mississippi and Hawaii (adjusted for inflation) shown in Table 2. Assume that the house values are changing linearly.In which state have
For the following exercises, find the slope of the lines graphed. 6-5-4-3 wale ·2+ 10 # 4 5 x
For the following exercises, sketch a line with the given features.An x-intercept of (−2, 0) and y-intercept of (0, 4)
For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. The following ordered pairs show the number of units sold in hundreds and the
For the following exercises, use the median home values in Mississippi and Hawaii (adjusted for inflation) shown in Table 2. Assume that the house values are changing linearly.If these trends were to
Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.
For the following exercises, write an equation for the lines graphed. --6-5-4- ak IN 34 5
For the following exercises, sketch a line with the given features.A y-intercept of (0, 7) and slope −3/2
Based on the set of data given in Table 7, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.
For the following exercises, use the median home values in Mississippi and Hawaii (adjusted for inflation) shown in Table 2. Assume that the house values are changing linearly.If we assume the linear
For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs show dollars and the number of units sold in hundreds
For the following exercises, write an equation for the lines graphed. # --6-5-4 -3-2- T y 0 g |||| x
For the following exercises, sketch a line with the given features.A y-intercept of (0, 3) and slope 2/5
For the following exercises, use the median home values in Indiana and Alabama (adjusted for inflation) shown in Table 3. Assume that the house values are changing linearly.In which state have home
For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs show dollars and the number of units sold in hundreds
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the population and the year over the ten-year
For the following exercises, write an equation for the lines graphed. tutustuot -5-4-3-2- m 1
For the following exercises, sketch a line with the given features.Passing through the points (−6, −2) and (6, −6)
For the following exercises, use the median home values in Indiana and Alabama (adjusted for inflation) shown in Table 3. Assume that the house values are changing linearly.If these trends were to
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the population and the year over the ten-year
For the following exercises, write an equation for the lines graphed. ger 3- -X x
For the following exercises, sketch a line with the given features.Passing through the points (−3, −4) and (3, 0)
For the following exercises, use the median home values in Indiana and Alabama (adjusted for inflation) shown in Table 3. Assume that the house values are changing linearly. If we assume the
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the population and the year over the ten-year
For the following exercises, write an equation for the lines graphed. x 100 mas 9 $1 Sp fram 34 -24 24 LE ngine -
For the following exercises, sketch the graph of each equation. f(x) = −2x − 1
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the population and the year over the ten-year
In 2004, a school population was 1,001. By 2008 the population had grown to 1,697. Assume the population is changing linearly.a. How much did the population grow between the year 2004 and 2008?b. How
For the following exercises, write an equation for the lines graphed. 5-4-3-2 x
For the following exercises, sketch the graph of each equation.g(x) = −3x + 2
In 2003, a town’s population was 1,431. By 2007 the population had grown to 2,134. Assume the population is changing linearly.a. How much did the population grow between the year 2003 and 2007?b.
For the following exercises, sketch the graph of each equation.h(x) =  1/3 x + 2
For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. 0 g(x)
A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 410 minutes, the monthly cost
For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. x h(x) 5 10 0 5 30 105 15 230
For the following exercises, sketch the graph of each equation.k(x) =  2/3 x − 3
A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $10 and then a certain amount of money per megabyte (MB) of data used on the phone. If a customer uses 20
For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. x 0 f(x) – 5 -5 5 20 10 45 15 70
For the following exercises, sketch the graph of each equation.f(t) = 3 + 2t
For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. 5 k(x) 13 * 10 28 20 58 25 73
In 1991, the moose population in a park was measured to be 4,360. By 1999, the population was measured again to be 5,880. Assume the population continues to change linearly.a. Find a formula for the
For the following exercises, sketch the graph of each equation.p(t) = −2 + 3t
In 2003, the owl population in a park was measured to be 340. By 2007, the population was measured again to be 285. The population changes linearly. Let the input be years since 1990.a. Find a
For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. x 0 2 4 6 -19 -44 g(x) 6 -69
For the following exercises, sketch the graph of each equation.x = 3
For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. x 2 f(x) 13 4 23 6 43 8 53
For the following exercises, sketch the graph of each equation.x = −2
Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year:a. Give a linear equation for the
For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. X 2 4 16 f(x) -4 6 8 36 56 00
For the following exercises, sketch the graph of each equation.q(x) = 3
For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. * k(x) 00 0 2 6 8 6 31 106 231
You are choosing between two different prepaid cell phone plans. The first plan charges a rate of 26 cents per minute. The second plan charges a monthly fee of $19.95 plus 11 cents per minute. How
For the following exercises, sketch the graph of each equation.4x = −9y + 36
You are choosing between two different window washing companies. The first charges $5 per window. The second charges a base fee of $40 plus $3 per window. How many windows would you need to have for
If f is a linear function, f(0.1) = 11.5, and f(0.4) = −5.9, find an equation for the function.
For the following exercises, sketch the graph of each equation.x/3 − y/4 = 1
When hired at a new job selling jewelry, you are given two pay options: • Option A: Base salary of $17,000 a year with a commission of 12% of your sales• Option B: Base salary of $20,000 a
Graph the function f on a domain of [−10, 10]: f(x) = 0.02x − 0.01. Enter the function in a graphing utility. For the viewing window, set the minimum value of x to be −10 and the maximum value
For the following exercises, sketch the graph of each equation.3x − 5y = 15
When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $14,000 a year with a commission of 10% of your sales • Option B: Base salary of
Graph the function f on a domain of [−10, 10]: f(x) = 2,500x + 4,000
For the following exercises, sketch the graph of each equation.3x = 15
When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $20,000 a year with a commission of 12% of your sales • Option B: Base salary of
Table 3 shows the input, w, and output, k, for a linear function k. a. Fill in the missing values of the table. b. Write the linear function k, round to 3 decimal places. w
For the following exercises, sketch the graph of each equation.3y = 12
When hired at a new job selling electronics, you are given two pay options:• Option A: Base salary of $10,000 a year with a commission of 9% of your sales • Option B: Base salary of $20,000
Table 4 shows the input, p, and output, q, for a linear function q. a. Fill in the missing values of the table. b. Write the linear function k. P 9 0.5 0.8 400 700 Table 4 12 a b 1,000,000

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