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mathematics
college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

Round-trip airline tickets to Hawaii are regularly $800, but for each additional ticket purchased the price is reduced by $5. For example, I ticket costs $800, 2 tickets cost 2(795) = $1590, and 3
Solve the polynomial inequality. Use interval notation to write the solution set. x² - 4x²
Solve the equation. Check your results. x + 5 x-2 x-1 x+1
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). g(x) = 1 x-3
Use the graph of f to solve each inequality. (a) f(x) > 0 (b) f(x) < 0 y = f(x) 2
Solve the equation. Check your answers. 2√x+3=9
A box is being constructed by cutting 2-inch squares from the corners of a rectangular sheet of metal that is 6 inches longer than it is wide. If the box is to have a volume of 270 cubic inches, find
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). g(x) = 1 x+2
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). g(x) = 1 X +2
Solve the equation. Check your answers. 4-√x=0
Use the graph of f to solve each inequality. (a) f(x) > 0 (b) f(x) < 0 -4-3 y = f(x)
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). X 7-1 = (x) 8
Solve the equation. Check your answers. √2-x=4
Solve the polynomial inequality. Use interval notation to write the solution set. (x - 1)(x - 2)² < 0
Solve the polynomial inequality. Use interval notation to write the solution set. (x + 2)²(x - 1) < 0
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). g(x) = 1 x+1 2
Solve the equation. Check your answers. V5-x=3
Solve the equation. Check your answers. √2x + 1 = 13
Solve the equation. Check your answers. √x + 2 = x - 4
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). g(x) = X 1 2 +1
Solve the polynomial inequality. Use interval notation to write the solution set. x4 - 13x² + 36 ≤0
Solve the polynomial inequality. Use interval notation to write the solution set. - 5x 5r2 +450
A cylindrical can is being constructed to have a volume of 10π cubic inches. Find the dimensions of the can that result in the least amount of aluminum being used in its construction.
Solve the equation. Check your answers. √3x + 7 = 3x + 5
Evaluate the radical expression by hand. (363/4)2
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). g(x) = 2 (x - 1)²
Solve the polynomial inequality. Use interval notation to write the solution set. (x - 1)(x-2)(x + 2) = 0
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). 1 - — = (x1)8 I
Complete the following. (a) Find the domain of f. (b) Graph f in an appropriate viewing rectangle. (c) Find any horizontal or vertical asymptotes. (d) Sketch a graph of f that includes any
Solve the equation. Check your answers. S + x = x - IA
Solve the equation. Check your answers. V5x6 = x
Solve each equation and associated inequalities. Use interval notation. P(x) = (x4)(x (a) P(x) = 0 - 1)(x + 2) (b) P(x) < 0 (c) P(x) > 0
Evaluate the radical expression by hand. (9-3/2)-2
Evaluate the radical expression by hand. (2-3/2-21/2)-3
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). g(x) = 1 (x + 1)² 2
Solve the polynomial inequality. Use interval notation to write the solution set. -(x + 1)²(x - 2) ≥ 0
Solve the polynomial inequality. Use interval notation to write the solution set. 2x² + 2x³ = 12x²
Complete the following. (a) Find the domain of f. (b) Graph f in an appropriate viewing rectangle. (c) Find any horizontal or vertical asymptotes. (d) Sketch a graph of f that includes any
Solve the equation. Check your answers. x-5 = √5x - 1
Solve each equation and associated inequalities. Use interval notation. P(x) = (x − 3)(x + 2)(x + 5) (a) P(x) = 0 (b) P(x) < 0 (c) P(x) > 0
Use transformations of the graph of either f(x) = 1/x or h(x) = 1/x2 to sketch a graph of y= g(x) by hand. Show all asymptotes. Write g(x) in terms of either f(x) or h(x). g(x) = 1 - 1 (x - 2)²
Solve the equation. Check your answers. √x + 5+1 = x
Evaluate the radical expression by hand. +1 -3/2
Complete the following. (a) Find the domain of f. (b) Graph f in an appropriate viewing rectangle. (c) Find any horizontal or vertical asymptotes. (d) Sketch a graph of f that includes any
Solve the polynomial inequality. Use interval notation to write the solution set. x³ + 6x² + 9x > 0
Complete the following. (a) Find the domain of f. (b) Graph f in an appropriate viewing rectangle. (c) Find any horizontal or vertical asymptotes. (d) Sketch a graph of f that includes any
Solve the equation. Check your answers. V4 - 3x = x + 8
Write the radical expression using positive exponents.
Solve the polynomial inequality graphically. x²³ - 7x² + 14x ≤ 8 =
Write the radical expression using positive exponents. 2/1-(EA)
Write the radical expression using positive exponents. Vy. Vy
Solve the equation. Check your answers. √x + 1 + 3 = √3x + 4
Write the radical expression using positive exponents. AAXA
Solve the polynomial inequality graphically. 2x3 + 3x² - 3x < 2
Solve the equation. Check your answers. √x=√x-5+1
Solve the equation. Check your answers. √2x - 4 + 2 = √3x + 4
Solve the equation. Check your answers. √2x - √x+1=1
Graph y = f(x). You may want to use division, factoring, or transformations as an aid. Show all asymptotes and "holes." f(x) = x² - 2x + 1 x-1
Solve the equation. Check your answers. Vz+ 1 = -3
Give the domain of the power function. Approximate f(3) to the nearest hundredth. 13/2 = 27
Solve the equation. Check your answers. √/2x² + 1 = 1- X
Graph y = f(x). You may want to use division, factoring, or transformations as an aid. Show all asymptotes and "holes." f(x)= 4x² + 4x + 1 2x + 1
Solve the equation. Check your answers. √x2 + 4 = 20
Give the domain of the power function. Approximate f(3) to the nearest hundredth. 2x ¹/4+3=6
Solve the equation. Check your answers. I + x^ = E + XTA
Solve the rational inequality 1 x² + 1 >0
Solve the equation. Check your answers. x-9=0
Solve the equation. Check your results. 1 - 1/2+² +2=0
Solve the equation. Check your results. 1 1 +==2== x + 2 x-2 x²-4 4
Solve the equation. Check your answers. 0=+-x^
The revenue R in dollars from selling x thousand toy figures is given by the formula R(x) = x(800 - x). How many toy figures should be sold to maximize revenue?
Suppose one person can paint a room in 10 hours and another person can paint the same room in 8 hours. How long will it take to paint the room if they work together?
Complete each of the following for f(x). (a) If possible, evaluate f(0) and f(-2). (b) Sketch a graph of f. Give the domain and range. (c) Over what interval(s) is the graph of y = f(x)
Suppose a parking garage atten- dant can wait on 4 vehicles per minute and vehicles are leaving the ramp randomly at an average rate of x vehicles per minute. Then the average time T in minutes spent
Use translations to graph f. f(x) = x-¹/2 +1
Use translations to graph f. 1 - {/zx = (x)/
Give the domain of the power function. Approximate f(3) to the nearest hundredth. Vx-2=5 - Vx+3
Give the domain of the power function. Approximate f(3) to the nearest hundredth. k2/34k¹/3-5=0
Match f(x) with its graph. Assume that a and b are constants with 0 f(x) = x²
Give the domain of the power function. Approximate f(3) to the nearest hundredth. 2x-3+1 = 4
Give the domain of the power function. Approximate f(3) to the nearest hundredth. x-³/4 - 16x¹/4 = 0
Solve the rational inequality 5 4 + 2x² V 0
Evaluate each f(x) at the given x. Approximate each result to the nearest hundredth. x¹/2, x = 50 f(x) = x³/2 = x¹/2
Give the domain of the power function. Approximate f(3) to the nearest hundredth. x¹/³ + 3x¹/3 1/3 = -2
Complete each of the following for f(x). (a) If possible, evaluate f(0) and f(-2). (b) Sketch a graph of f. Give the domain and range. (c) Over what interval(s) is the graph of y = f(x)
Solve the rational inequality 1 x-1 + 1 x + 1 V
Complete each of the following for f(x). (a) If possible, evaluate f(0) and f(-2). (b) Sketch a graph of f. Give the domain and range. (c) Over what interval(s) is the graph of y = f(x)
Complete each of the following for f(x). (a) If possible, evaluate f(0) and f(-2). (b) Sketch a graph of f. Give the domain and range. (c) Over what interval(s) is the graph of y = f(x)
Complete each of the following for f(x). (a) If possible, evaluate f(0) and f(-2). (b) Sketch a graph of f. Give the domain and range. (c) Over what interval(s) is the graph of y = f(x)
Complete each of the following for f(x). (a) If possible, evaluate f(0) and f(-2). (b) Sketch a graph of f. Give the domain and range. (c) Over what interval(s) is the graph of y = f(x)
Determine how the value of f(x) changes when x triples and when x is reduced by half. Assume that x is a positive number. f(x) = 5x³
Determine how the value of f(x) changes when x triples and when x is reduced by half. Assume that x is a positive number. f(x) = 2x²
Determine how the value of f(x) changes when x triples and when x is reduced by half. Assume that x is a positive number. f(x) -|" X
Use the given graph of y = axn, where n is a nonzero integer to complete the following. (a) Is n odd or even? Is n positive or negative? (b) Is the coefficient a positive or negative? (c) Over
Use the given graph of y = axn, where n is a nonzero integer to complete the following. (a) Is n odd or even? Is n positive or negative? (b) Is the coefficient a positive or negative? (c) Over
Determine how the value of f(x) changes when x triples and when x is reduced by half. Assume that x is a positive number. f(x) 3 X
Solve each equation and inequality. Use interval notation. (a) (x − 1)(2x) — (x²)(1) (x - 1)² (x - 1)(2x) - (x²)(1) (b) (x - 1)² 0 >0
Use the given graph of y = axn, where n is a nonzero integer to complete the following. (a) Is n odd or even? Is n positive or negative? (b) Is the coefficient a positive or negative? (c) Over
Use the given graph of y = axn, where n is a nonzero integer to complete the following. (a) Is n odd or even? Is n positive or negative? (b) Is the coefficient a positive or negative? (c) Over
Use the given graph of y = axn, where n is a nonzero integer to complete the following. (a) Is n odd or even? Is n positive or negative? (b) Is the coefficient a positive or negative? (c) Over

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