Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -$\begin{array}{c|ccccc} x & 10 & 20 & 30 & 40 & 50 \\ \hline y & 3.9 & 4.6 & 5.4 & 6.9 & 8.3 \end{array}$

A) $y = x - 8$ B) $y = 0.11 x + 2.49$ C) $y = 0.5 x - 2$ D) $y = 0.17 x + 2.11$ A) $y = x - 8$ B) $y = 0.11 x + 2.49$ C) $y = 0.5 x - 2$ D) $y = 0.17 x + 2.11$

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. -\[\begin{array} { l } f ( x ) = 7 x + 8 \\ g ( x ) = x ^ { 2 } \end{array}\]

A) $x = 1 , x = - \frac { 1 } { 8 }$ B) $x = 1 , x = 8$ C) $x = - 1 , x = 8$ D) $x = - 1 , x = \frac { 1 } { 8 }$ A) $x = 1 , x = - \frac { 1 } { 8 }$ B) $x = 1 , x = 8$ C) $x = - 1 , x = 8$ D) $x = - 1 , x = \frac { 1 } { 8 }$

Exam 2: Linear and Quadratic Functions

Solve the problem. -An open box is to be constructed from a square sheet of plastic by removing a square of side 4 inches from each corner, and then turning up the sides. If the box must have a volume of 1,600 cubic inches, find the length of one Side of the open box.

(Multiple Choice)

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Question 61

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $H ( x ) = 5 x ^ { 2 } - 39 x - 8$

(Multiple Choice)

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(31)

Question 62

Choose the one alternative that best completes the statement or answers the question. -Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 40 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

(Multiple Choice)

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(35)

Question 63

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 5 | + 6 \leq 14$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 5 | + 6 \leq 14$

(Multiple Choice)

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(31)

Question 64

Solve the problem. -The manufacturer of a CD player has found that the revenue R (in dollars) is when the unit price is p dollars. If the manufacturer sets the price p to maximize revenue, $R ( p ) = - 4 p ^ { 2 } + 1,910 p$ what is the maximum revenue to the nearest whole dollar?

(Multiple Choice)

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Question 65

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 9 | \geq 0$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 9 | \geq 0$

(Multiple Choice)

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Question 66

Determine the quadratic function whose graph is given. - Vertex: $( - 1,4 )$ $y$ -intercept: $( 0,3 )$

(Multiple Choice)

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(28)

Question 67

Determine the domain and the range of the function. - $f ( x ) = - 4 x ^ { 2 } - 2 x - 8$

(Multiple Choice)

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(30)

Question 68

Solve the problem. -If $h ( x ) = x ^ { 2 } + 2 x - 8$ , solve $h ( x ) > 0$ .

(Multiple Choice)

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(40)

Question 69

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 10 20 30 40 50 y 3.9 4.6 5.4 6.9 8.3

(Multiple Choice)

4.8/5

(38)

Question 70

Use the slope and y-intercept to graph the linear function. - $f ( x ) = \frac { 1 } { 2 } x - 3$ $Use the slope and y-intercept to graph the linear function. - f ( x ) = \frac { 1 } { 2 } x - 3$

(Multiple Choice)

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(39)

Question 71

Solve the problem. -The length of a vegetable garden is 3 feet longer than its width. If the area of the garden is 130 square feet, find its dimensions.

(Multiple Choice)

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Question 72

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } + 2$

(Multiple Choice)

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(39)

Question 73

Match the graph to one of the listed functions. -

(Multiple Choice)

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(39)

Question 74

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = - x ^ { 2 } + 6 x$

(Multiple Choice)

4.8/5

(32)

Question 75

Determine where the function is increasing and where it is decreasing. - $g ( x ) = 6 x ^ { 2 } + 120 x + 564$

(Multiple Choice)

4.8/5

(30)

Question 76

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 3 x - 108$

(Multiple Choice)

4.7/5

(30)

Question 77

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - $f(x)=5 x^{2}-2$ $Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=5 x^{2}-2$

(Multiple Choice)

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(28)

Question 78

Determine the average rate of change for the function. - $f ( x ) = \frac { 1 } { 2 } x - 3$

(Multiple Choice)

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(32)

Question 79

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=7x+8 g(x)=

(Multiple Choice)

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Question 80

Showing 61 - 80 of 302

Solve the problem. -An open box is to be constructed from a square sheet of plastic by removing a square of side 4 inches from each corner, and then turning up the sides. If the box must have a volume of 1,600 cubic inches, find the length of one Side of the open box.

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $H ( x ) = 5 x ^ { 2 } - 39 x - 8$

Choose the one alternative that best completes the statement or answers the question. -Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 40 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 5 | + 6 \leq 14$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 5 | + 6 \leq 14$

Solve the problem. -The manufacturer of a CD player has found that the revenue R (in dollars) is when the unit price is p dollars. If the manufacturer sets the price p to maximize revenue, $R ( p ) = - 4 p ^ { 2 } + 1,910 p$ what is the maximum revenue to the nearest whole dollar?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 9 | \geq 0$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 9 | \geq 0$

Determine the quadratic function whose graph is given. - Vertex: $( - 1,4 )$ $y$ -intercept: $( 0,3 )$

Determine the domain and the range of the function. - $f ( x ) = - 4 x ^ { 2 } - 2 x - 8$

Solve the problem. -If $h ( x ) = x ^ { 2 } + 2 x - 8$ , solve $h ( x ) > 0$ .

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 10 20 30 40 50 y 3.9 4.6 5.4 6.9 8.3

Use the slope and y-intercept to graph the linear function. - $f ( x ) = \frac { 1 } { 2 } x - 3$ $Use the slope and y-intercept to graph the linear function. - f ( x ) = \frac { 1 } { 2 } x - 3$

Solve the problem. -The length of a vegetable garden is 3 feet longer than its width. If the area of the garden is 130 square feet, find its dimensions.

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } + 2$

Match the graph to one of the listed functions. -

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = - x ^ { 2 } + 6 x$

Determine where the function is increasing and where it is decreasing. - $g ( x ) = 6 x ^ { 2 } + 120 x + 564$

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 3 x - 108$

Determine the average rate of change for the function. - $f ( x ) = \frac { 1 } { 2 } x - 3$

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=7x+8 g(x)=

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Exam 2: Linear and Quadratic Functions

Solve the problem. -An open box is to be constructed from a square sheet of plastic by removing a square of side 4 inches from each corner, and then turning up the sides. If the box must have a volume of 1,600 cubic inches, find the length of one Side of the open box.

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - H(x)=5x2−39x−8H ( x ) = 5 x ^ { 2 } - 39 x - 8H(x)=5x2−39x−8

Choose the one alternative that best completes the statement or answers the question. -Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 40 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x−5∣+6≤14| x - 5 | + 6 \leq 14∣x−5∣+6≤14

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x−9∣≥0| x - 9 | \geq 0∣x−9∣≥0

Determine the quadratic function whose graph is given. - Vertex: (−1,4)( - 1,4 )(−1,4) yyy -intercept: (0,3)( 0,3 )(0,3)

Determine the domain and the range of the function. - f(x)=−4x2−2x−8f ( x ) = - 4 x ^ { 2 } - 2 x - 8f(x)=−4x2−2x−8

Solve the problem. -If h(x)=x2+2x−8h ( x ) = x ^ { 2 } + 2 x - 8h(x)=x2+2x−8 , solve h(x)>0h ( x ) > 0h(x)>0 .

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 10 20 30 40 50 y 3.9 4.6 5.4 6.9 8.3

Use the slope and y-intercept to graph the linear function. - f(x)=12x−3f ( x ) = \frac { 1 } { 2 } x - 3f(x)=21​x−3

Solve the problem. -The length of a vegetable garden is 3 feet longer than its width. If the area of the garden is 130 square feet, find its dimensions.

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - f(x)=x2+2f ( x ) = x ^ { 2 } + 2f(x)=x2+2

Match the graph to one of the listed functions. -

Find the vertex and axis of symmetry of the graph of the function. - f(x)=−x2+6xf ( x ) = - x ^ { 2 } + 6 xf(x)=−x2+6x

Determine where the function is increasing and where it is decreasing. - g(x)=6x2+120x+564g ( x ) = 6 x ^ { 2 } + 120 x + 564g(x)=6x2+120x+564

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - f(x)=x2−3x−108f ( x ) = x ^ { 2 } - 3 x - 108f(x)=x2−3x−108

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=5x2−2f(x)=5 x^{2}-2f(x)=5x2−2

Determine the average rate of change for the function. - f(x)=12x−3f ( x ) = \frac { 1 } { 2 } x - 3f(x)=21​x−3

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=7x+8 g(x)=

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $H ( x ) = 5 x ^ { 2 } - 39 x - 8$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 5 | + 6 \leq 14$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 5 | + 6 \leq 14$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 9 | \geq 0$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 9 | \geq 0$

Determine the quadratic function whose graph is given. - Vertex: $( - 1,4 )$ $y$ -intercept: $( 0,3 )$

Determine the domain and the range of the function. - $f ( x ) = - 4 x ^ { 2 } - 2 x - 8$

Solve the problem. -If $h ( x ) = x ^ { 2 } + 2 x - 8$ , solve $h ( x ) > 0$ .

Use the slope and y-intercept to graph the linear function. - $f ( x ) = \frac { 1 } { 2 } x - 3$ $Use the slope and y-intercept to graph the linear function. - f ( x ) = \frac { 1 } { 2 } x - 3$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } + 2$

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = - x ^ { 2 } + 6 x$

Determine where the function is increasing and where it is decreasing. - $g ( x ) = 6 x ^ { 2 } + 120 x + 564$

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 3 x - 108$

Determine the average rate of change for the function. - $f ( x ) = \frac { 1 } { 2 } x - 3$