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mathematics
algebra and trigonometry graphs

Questions and Answers of Algebra And Trigonometry Graphs

Solve.5√x = 625
Solve graphically.31,245e-3x = 523,467
Determine whether each of the following is true or false. Assume that a, x, M, and N are positive.logN (MN)x = x logN M + x
Solve.Find the domain: f(x) = log3 (ln x).
Consider the function f given byDoes f have an inverse that is a function? Why or why not? f(x) = 3 (x³ + 2₂ x ≤ -1, x², x + 1, -1 < x < 1, x ≥ 1.
Simplify.(1 - 4i)(7 + 6i)
Using only a graphing calculator, determine whether the functions are inverses of each other. f(x) 3) x 3.2 1.4 g(x) = 1.4x³ + 3.2
Find the x-intercepts and the zeros of the function.f(x) = 2x2 - 13x - 7
Using only a graphing calculator, determine whether the functions are inverses of each other. f(x) 2x - 5 4x + 7' g(x) 7x - 4 5x+2
Find the x-intercepts and the zeros of the function.h(x) = x4 - x2
Find the x-intercepts and the zeros of the function.g(x) = x3 + x2 - 12x
Solve.x3 + 6x2 - 16x = 0
Solve.3x2 - 6 = 5x
The function f(x) = x2 - 3 is not one-to-one. Restrict the domain of f so that its inverse is a function. Find the inverse and state the restriction on the domain of the inverse.
Find three examples of functions that are their own inverses; that is, f = f -1.
For Exercises:a) Graph the function.b) Estimate the zeros.c) Estimate the relative maximum values and the relative minimum values. f(x) || In x 2 x²
Given the function f(x) = ax + b, a ≠ 0, find the values of a and b for which f -1(x) = f(x).
Solve.log2 (2x + 5) < 0
Solve.log2 (x - 3) ≥ 4
For Exercises:a) Graph the function.b) Estimate the zeros.c) Estimate the relative maximum values and the relative minimum values.f(x) = x ln x
For Exercises:a) Graph the function.b) Estimate the zeros.c) Estimate the relative maximum values and the relative minimum values.f(x) = x2 ln x
For Exercises:a) Graph the function.b) Estimate the zeros.c) Estimate the relative maximum values and the relative minimum values.f(x) = e-x ln x
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.f(x) = -3x2 - 3x + 1
Solve.|x - 4| = 3
Solve.|2y + 7| = 9
Solve.x2 + 100 = 0
Solve.3x3 + x2 - 12x - 4 = 0
Express in terms of i. -V-40
In Exercises:a) Find the discriminant b2 - 4ac, and then determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.b) Solve
Solve.3x2 + 2x = 8
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.f(x) = 2x2 - 10x + 14
Solve.4x2 + 12 = 0
Determine the intervals on which the function is (a) Increasing, (b) Decreasing, and (c) Constant LII. 2 -2 -2 H H V<
Determine the intervals on which the function is (a) Increasing; (b) Decreasing; and (c) Constant. I... ····| SFWN +-+-+-+-A -5-4-3-2-1, ετι 5435 H▬▬▬
Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin. X VK
Determine the intervals on which the function is (a) Increasing, (b) Decreasing, and (c) Constant +12+10-8 6 III УЛ Cl 2 LII II
Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin. X V<
Determine the intervals on which the function is (a) Increasing, (b) Decreasing, and (c) Constant X T V<
Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin. X Va
Determine the intervals on which the function is (a) Increasing; (b) Decreasing; and (c) Constant. ул 5 3 2 1 -5-4-3-2-1 1 2 3 4 5 44 +4+4+4+ CITIZ --2 -4 -5 XV
Graph the function defined as g(x) = x + 2, for x < −4, -X, for x ≥ -4.
Determine the intervals on which the function is (a) Increasing, (b) Decreasing, and (c) Constant ул + C 12 H -6-4-2 10 8 Q6 I-H -2 I 2 4 EFA H 8 10 X
Determine visually whether the function is even, odd, or neither even nor odd. X V«
Determine the intervals on which the function is (a) Increasing; (b) Decreasing; and (c) Constant. # УЛ 5 -5-4-3-2-1 2 1 1 -2 -3 4 5 1 2 3 4 5 H X
Determine visually whether the function is even, odd, or neither even nor odd. X VK
Describe in words the variation given by the equation Q= kp² 9³
For each piecewise function, find the specified function values. -5x8, x + 5, 10 2x, for x > 4 ƒ(-4), f(-2), ƒ(4), and f(6) f(x) for x < -2, for -2 ≤ x ≤ 4,
Determine visually whether the function is even, odd, or neither even nor odd. ул X
Show that if f is any function, then the function E defined byis even. E (x) = f(x) + f(-x) 2
A car dealership has 24 ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x
The relative aperture, or f-stop, of a 23.5-mm diameter lens is directly proportional to the focal length F of the lens. If a 150-mm focal length has an f-stop of 6.3, find the f-stop of a 23.5-mm
Determine the domain and the range of the piecewise function. Then write an equation for the function FIT H V< 4 2 II IIII 24 HH f X
Consider the following linear equations. Without graphing them, answer the questions below. a) y = x b) y = -5x + 4 c) y = 2/3 x + 1 d) y = -0.1x + 6 e) y = 3x - 5 f) y
Determine the domain and the range of the piecewise function. Then write an equation for the function -4-2 YA 4 2 -2 -4 ++++ 24 h X
Consider the following linear equations. Without graphing them, answer the questions below. a) y = x b) y = -5x + 4 c) y = 2/3 x + 1 d) y = -0.1x + 6 e) y = 3x - 5 f) y
Consider the following linear equations. Without graphing them, answer the questions below. a) y = x b) y = -5x + 4 c) y = 2/3 x + 1 d) y = -0.1x + 6 e) y = 3x - 5 f) y
Determine the domain and the range of the piecewise function. Then write an equation for the function مر -2 ۷۸ 4 نا -2 -4 00 h X
Consider the following linear equations. Without graphing them, answer the questions below. a) y = x b) y = -5x + 4 c) y = 2/3 x + 1 d) y = -0.1x + 6 e) y = 3x - 5 f) y
Consider the following linear equations. Without graphing them, answer the questions below. a) y = x b) y = -5x + 4 c) y = 2/3 x + 1 d) y = -0.1x + 6 e) y = 3x - 5 f) y
Graph the equation.2x + y = 4
Graph the equation.y = x2 + 1
Solve.(2x - 3)(3x - 2) = 0
Solve. Find exact solutions.(2x - 1)(x + 5) = 0
Solve.(5x - 2)(2x + 3) = 0
Solve. Find exact solutions.6x2 - 36 = 0
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.f(x) = x2 - 8x + 12
Solve.x2 - 8x - 20 = 0
Solve. Find exact solutions.x2 + 4 = 0
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.g(x) = x2 + 7x - 8
Solve.x2 + 6x + 8 = 0
Solve. Find exact solutions.x2 - 2x - 3 = 0
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.f(x) = x2 - 7x + 12
Solve.(2y + 5)(3y - 1) = 0
Solve.3x2 + x - 2 = 0
Solve. Find exact solutions.x2 - 5x + 3 = 0
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.g(x) = x2 - 5x + 6
Solve.x2 + 4x - 5 = 0
Solve.10x2 - 16x + 6 = 0
Solve. Find exact solutions.2t2 - 3t + 4 = 0
Solve. Find exact solutions. 3 3x + 4 + x 2 - 1 = 2
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function. g(x) = x² X 2 2 + 4x + 6
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.f(x) = x2 + 4x + 5
Solve. Find exact solutions. √x +4-2= 1
Solve.4x2 - 12 = 0
Solve. Find exact solutions.x + 5√x - 36 = 0
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function. g(x) = 2 3 - 2x + 1
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.f(x) = x2 + 2x + 6
Solve. Find exact solutions. √x + 4 = √x - 4 = 2 -
Solve.5x2 = 15
Solve.6x2 = 36
Solve.x2 + 10 = 0
Solve.3x2 = 21
Solve.2x2 - 20 = 0
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.g(x) = 2x2 + 6x + 8
Solve.5x2 + 10 = 0
Solve. Find exact solutions.|x + 4| = 7
Solve. Find exact solutions.|4y - 3| = 5
In Exercises:a) Find the vertex.b) Find the axis of symmetry.c) Determine whether there is a maximum or a minimum value and find that value.d) Graph the function.f(x) = -x2 - 6x + 3
Solve.x2 + 16 = 0
Solve.x2 + 25 = 0

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