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college mathematics for business

Questions and Answers of College Mathematics For Business

In Problem solve each equation for x. (Remember: ex ≠ 0 and e-x ≠ 0 for all values of x).10xex - 5ex = 0
In Problem use the following graph of a function f to determine x or y to the nearest integer, as indicated. Some problems may have more than one answer.y = f(-5) f(x) y = f(x) 10 5 -10 10 -5 - 10
In Problem find the equation of any horizontal asymptote. x? + x* + 1 f(x) %3D хз + 2х - 4 2х - 4
Solve Problem for x to four decimal places.8,000 = 4,000 (1.08x)
In Problem discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.Every polynomial function of odd degree is one-to-one.
In Problem find the equation of any horizontal asymptote. х2 + 6х + 1 f(x) х — 5
Solve Problem for x to four decimal places.0.01 = e - 0.05x
In Problem discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.Every polynomial function is one-to-one.
In Problem solve each equation for x.(4x + 1)4 = (5x - 10)4
In Problem find the equation of any horizontal asymptote. 3 + 5x f(x) x* + x + 3
For Problem find x, y, or b without using a calculator. 5 logs X %3D
For the functions indicated in Problem find each of the following to the nearest integer by referring to the graphs for Problem.(A) Intercepts (B) Vertex(C) Maximum or minimum (D)
In Problem first write each function in vertex form; then find each of the following (to two decimal places):(A) Intercepts (B) Vertex(C) Maximum or minimum (D) Rangef(x) = -0.12x2 + 0.96x
In Problem solve each equation for x. (Remember: ex ≠ 0 and e-x ≠ 0 for all values of x).xe- x + 7e- x = 0
Solve Problem for x to four decimal places.35 = 7 (3x)
In Problem first write each function in vertex form; then find each of the following (to two decimal places):(A) Intercepts (B) Vertex(C) Maximum or minimum (D) Rangeg(x) = 0.25x2 - 1.5x - 7
In Problem solve each equation for x.(5x + 18)4 = (x + 6)4
In Problem find the equation of any horizontal asymptote. x* + 2x? + 1 f(x) 1 - x
For Problem find x, y, or b without using a calculator. 3 log4 x 2
Solve Problem for x to four decimal places.In x = 0.3618
In Problem use point-by-point plotting to sketch the graph of each function. f(x)
In Problem find the equation of any horizontal asymptote. 8 - x3 1 + 2x f(x)
Solve Problem for x to four decimal places.x = 3 (e1.49)
For Problem find x, y, or b without using a calculator. log2 y 8
Solve Problem for x exactly without using a calculator.logx 8 = -3
Solve Problem for x exactly without using a calculator.2 In(x - 1) = In(x2 - 5)
Let f(x) = 100x - 7x2 - 10. Find the maximum value of f to four decimal places graphically.
In Problem solve each equation for x.(2x + 1)2 = (3x - 1)2
Solve Problem for x to four decimal places.log x = -2.0144
Let f(x) = 125x - 6x2. Find the maximum value of f to four decimal places graphically.
In Problem solve each equation for x.(x + 5)2 = (2x - 14)2
In Problem find the equation of any horizontal asymptote. 1 - 5x + x? f(x) 2 + 3x + 4x2
Solve Problem for x to four decimal places.x = 230 (10- 0.161)
For Problem find x, y, or b without using a calculator.logb 81 = -4
In Problem use point-by-point plotting to sketch the graph of each function.f(x) = x3 - 2
For Problem find x, y, or b without using a calculator.log49 7 = y
Solve Problem for x exactly without using a calculator.log9 x = 3/2
For Problem find x, y, or b without using a calculator. logb = 2 1 25
In Problem find the vertex form for each quadratic function. Then find each of the following:(A) Intercepts (B) Vertex(C) Maximum or minimum (D) Rangeu(x) = 0.5x2 - 2x + 5
Solve Problem for x exactly without using a calculator.log1/3 9 = x
For Problem find x, y, or b without using a calculator.logb 64 = 3
Solve Problem for x exactly without using a calculator.2x2ex = 3xex
For Problems find x, y, or b without using a calculator.log10 x = 1
Solve Problem for x exactly without using a calculator.e2x = ex2 - 3
For Problem find x, y, or b without using a calculator.log10 x = -1
Solve Problem for x exactly without using a calculator.9x - 1 = 31 + x
Solve Problem for x exactly without using a calculator.log(x + 5) = log(2x - 3)
In Problem each equation specifies a function. Determine whether the function is linear, quadratic, constant, or none of these.y = 8x + 2(10 - 4x)
Problem require a graphing calculator or a computer that can calculate the linear regression line for a given data set.Find a linear regression model for the data on average annual precipitation in
For the functions indicated in Problem find each of the following to the nearest integer by referring to the graphs for Problem.(A) Intercepts (B) Vertex(C) Maximum or minimum (D)
For the functions indicated in Problem find each of the following to the nearest integer by referring to the graphs for Problem.(A) Intercepts (B) Vertex(C) Maximum or minimum (D)
For Problem rewrite in equivalent logarithmic form.A = bu
In Problem solve for x.5x + 3 = x + 23
Indicate whether each graph specifies a function: (В) (A) -5 -5
Write in logarithmic form using base 10: x = 10y.
In Problem each equation specifies a function. Determine whether the function is linear, quadratic, constant, or none of these. 1 + 5х y = 6
In Problem each equation specifies a function. Determine whether the function is linear, quadratic, constant, or none of these. 7 — 4х y = 2х
Referring to the graph of function f in the figure for Problem 20 and using known properties of quadratic functions, find each of the following to the nearest integer:(A) Intercepts (B)
For the functions indicated in Problem find each of the following to the nearest integer by referring to the graphs for Problem.(A) Intercepts (B) Vertex(C) Maximum or minimum (D)
In Problem each equation specifies a function. Determine whether the function is linear, quadratic, constant, or none of these.y = 4 - x + 3x2
Solve Problem for x to three decimal places.log x = 3.105
Solve Problem for x to three decimal places.In x = -1.147
Solve Problem for x to three decimal places.ex = 503,000
Solve Problem for x to three decimal places.10x = 143.7
For Problem rewrite in equivalent logarithmic form.M = bx
Solve Problem for x exactly without using a calculator.log2 16 = x
Solve Problem for x exactly without using a calculator.log3 x = 2
Solve Problem for x exactly without using a calculator.logx 36 = 2
Write in exponential form using base 10: log u = v.
Write in exponential form using base e: In M = N.
Write in logarithmic form using base e: u = ev.
Indicate whether each table in Problem specifies a function. Domain Range 3 5 1 2
In Problem solve each equation for x.(3x + 4)3 = 523
In Problem describe how the graph of each function is related to the graph of one of the six basic functions in Figure 1. Sketch a graph of each function.m(x) = -0.4x2
In Problem find the equation of any horizontal asymptote. 6x4 – x + 2 f(x) = 4x4 + 10x + 5
In Problem use point-by-point plotting to sketch the graph of each function.f(x) = 4 - x3
Let f(x) = 0.3x2 - x - 8. Solve each equation graphically to two decimal places.(A) f(x) = 4 (B) f(x) = -1 (C) f(x) = -9
In Problem solve each equation for x.(3x + 9)5 = 32x5
In Problem describe how the graph of each function is related to the graph of one of the six basic functions in Figure 1. Sketch a graph of each function.h(x) = -3|x| f(x) h(x) m(x) -5 5 -5 -5 -5 (A)
In Problem find the equation of any horizontal asymptote. 5x3 + 2х-3 f(x) 6x3 7x + 1
In Problem solve each equation for x.5x2 - x = 542
In Problem describe how the graph of each function is related to the graph of one of the six basic functions in Figure 1. Sketch a graph of each function.g(x) = -6 + 3√x
Compare the graph of y = -x5 to the graph of y = -x5 + 5x3 - 5x + 2 in the following two viewing windows:(A) -5 ≤ x ≤ 5, -5 ≤ y ≤ 5(B) -5 ≤ x ≤ 5, -500 ≤ y ≤ 500
In Problem use point-by-point plotting to sketch the graph of each function.f(x) = x2 - 1
In Problem solve each equation for x.7x2 = 73x + 10
In Problem describe how the graph of each function is related to the graph of one of the six basic functions in Figure 1. Sketch a graph of each function.f(x) = 7 - √x
In Problem describe how the graph of each function is related to the graph of one of the six basic functions in Figure 1. Sketch a graph of each function.m(x) = (x + 3)2 + 4
In Problem use point-by-point plotting to sketch the graph of each function. f(x) 3 %3D
Compare the graph of y = -x5 to the graph of y = -x5 + 4x3 - 4x + 1 in the following two viewing windows:(A) -5 ≤ x ≤ 5, -5 ≤ y ≤ 5(B) -5 ≤ x ≤ 5, -500 ≤ y ≤ 500
In Problem solve each equation for x.3x + 4 = 32x - 5
In Problem use point-by-point plotting to sketch the graph of each function.f(x) = 1 - x
In Problem find the vertex form for each quadratic function. Then find each of the following:(A) Intercepts (B) Vertex(C) Maximum or minimum (D) Ranger(x) = -4x2 + 16x - 15
In Problem solve each equation for x.22x + 5 = 2101
Compare the graph of y = 2x4 to the graph of y = 2x4 - 5x2 + x + 2 in the following two viewing windows:(A) -5 ≤ x ≤ 5, -5 ≤ y ≤ 5(B) -5 ≤ x ≤ 5, -500 ≤ y ≤ 500
In Problem each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither. у — х 3 + 2r + 1 4 2.
In Problem describe how the graph of each function is related to the graph of one of the six basic functions in Figure 1. Sketch a graph of each function.h(x) = -|x - 5|
For Problem write in simpler form, as in Example 4.Example 4For f(x) = 12/ (x - 2), g(x) = 1 - x2, and h(x) = √x - 1, evaluate:(A) f(6) (B) g(-2) (C) h(-2) (D) f(0) + g(1) - h(10)
For Problem write in simpler form, as in Example 4.3plog3 qExample 4For f(x) = 12/ (x - 2), g(x) = 1 - x2, and h(x) = √x - 1, evaluate:(A) f(6) (B) g(-2) (C) h(-2) (D) f(0) + g(1) -
In Problem each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.y - x2 + 2 = 10 - x2
In Problem find the vertex form for each quadratic function. Then find each of the following:(A) Intercepts (B) Vertex(C) Maximum or minimum (D) Rangef(x) = x2 - 8x + 12

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