Exam 2: Linear and Quadratic Functions

Solve the problem. -A drug company establishes that the most effective dose of a new drug relates to body weight as shown below. Let body weight be the independent variable and drug dosage be the dependent variable. Use a graphing utility To draw a scatter diagram and to find the line of best fit. What is the most effective dosage for a person weighing 140 lbs? Body Drug Weight () Dosage () 50 10 100 12 150 17 200 19 250 21

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Question 41

Determine the slope and y-intercept of the function. -f(x) = 2x + 11

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Question 42

Graph the function. State whether it is increasing, decreasing, or constant.. - $f(x)=2 x+4$ A) decreasing B) increasing C) increasing D) increasing

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Question 43

Solve the problem. -Linda needs to have her car towed. Little Town Auto charges a flat fee of $75 plus $3 per mile towed. Write a function expressing Linda's towing cost, c, in terms of miles towed, x. Find the cost of having a car towed 3 Miles.

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Question 44

Use a graphing calculator to plot the data and find the quadratic function of best fit. -The following data represents the total revenue, R (in dollars), received from selling x bicycles at Tunney's Bicycle Shop. Using a graphing utility, find the quadratic function of best fit using coefficients rounded to the nearest hundredth. Number of Bicycles, x Total Revenue, R (in dollars) 0 0 22 27,000 70 46,000 96 55,200 149 61,300 200 64,000 230 64,500 250 67,000

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Question 45

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching, and/or reflection). - $f ( x ) = 4 x ^ { 2 }$ $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = 4 x ^ { 2 } A) B) C) D)$ A) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = 4 x ^ { 2 } A) B) C) D)$ B) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = 4 x ^ { 2 } A) B) C) D)$ C) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = 4 x ^ { 2 } A) B) C) D)$ D) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = 4 x ^ { 2 } A) B) C) D)$

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Question 46

Determine the average rate of change for the function. -p(x) = -x + 1

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Question 47

Graph the function. State whether it is increasing, decreasing, or constant.. - $f ( x ) = \frac { 1 } { 2 } x - 2$ $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 1 } { 2 } x - 2 A) increasing B) increasing C) decreasing D) increasing$ A) increasing $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 1 } { 2 } x - 2 A) increasing B) increasing C) decreasing D) increasing$ B) increasing $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 1 } { 2 } x - 2 A) increasing B) increasing C) decreasing D) increasing$ C) decreasing $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 1 } { 2 } x - 2 A) increasing B) increasing C) decreasing D) increasing$ D) increasing $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 1 } { 2 } x - 2 A) increasing B) increasing C) decreasing D) increasing$

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Question 48

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 25 x ^ { 2 } + 30 x + 8$

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Question 49

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x | < 4$

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Question 50

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $h ( x ) = x ^ { 2 } + 5 x - 14$

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Question 51

Solve the problem. -Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.50. The total cost to regrind 90 platens is $400. Find the linear cost function to regrind platens. If reground platens sell for $8.00 each, how Many must be reground and sold to break even?

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Question 52

Solve the problem. -If $g ( x ) = x ^ { 2 } - 3 x - 18$ , solve $g ( x ) \leq 0$ .

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Question 53

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 10 | > 14$

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Question 54

Solve the inequality. - $x ^ { 2 } - 4 x - 5 \leq 0$

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Question 55

Solve the problem. -A truck rental company rents a moving truck one day by charging $39 plus $0.09 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost Of renting the truck if the truck is driven 120 miles?

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Question 56

Determine the domain and the range of the function. - $f ( x ) = - x ^ { 2 } - 4 x + 5$

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Question 57

Solve the problem. -Suppose that $f ( x ) = - x - 7$ and $g ( x ) = x - 18$ . (a) Solve $f ( x ) > 0$ . (b) Solve $g ( x ) > 0$ . (c) Solve $\mathrm { f } ( \mathrm { x } ) \leq \mathrm { g } ( \mathrm { x } )$ .

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Question 58

Match the graph to one of the listed functions. -

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Question 59

Solve the equation. - $| b - 8 | + 1 = 10$

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Question 60

Showing 41 - 60 of 301

Determine the slope and y-intercept of the function. -f(x) = 2x + 11

Graph the function. State whether it is increasing, decreasing, or constant.. - $f(x)=2 x+4$ A) decreasing B) increasing C) increasing D) increasing

Solve the problem. -Linda needs to have her car towed. Little Town Auto charges a flat fee of $75 plus $3 per mile towed. Write a function expressing Linda's towing cost, c, in terms of miles towed, x. Find the cost of having a car towed 3 Miles.

Determine the average rate of change for the function. -p(x) = -x + 1

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 25 x ^ { 2 } + 30 x + 8$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x | < 4$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $h ( x ) = x ^ { 2 } + 5 x - 14$

Solve the problem. -Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.50. The total cost to regrind 90 platens is $400. Find the linear cost function to regrind platens. If reground platens sell for $8.00 each, how Many must be reground and sold to break even?

Solve the problem. -If $g ( x ) = x ^ { 2 } - 3 x - 18$ , solve $g ( x ) \leq 0$ .

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 10 | > 14$

Solve the inequality. - $x ^ { 2 } - 4 x - 5 \leq 0$

Solve the problem. -A truck rental company rents a moving truck one day by charging $39 plus $0.09 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost Of renting the truck if the truck is driven 120 miles?

Determine the domain and the range of the function. - $f ( x ) = - x ^ { 2 } - 4 x + 5$

Solve the problem. -Suppose that $f ( x ) = - x - 7$ and $g ( x ) = x - 18$ . (a) Solve $f ( x ) > 0$ . (b) Solve $g ( x ) > 0$ . (c) Solve $\mathrm { f } ( \mathrm { x } ) \leq \mathrm { g } ( \mathrm { x } )$ .

Match the graph to one of the listed functions. -

Solve the equation. - $| b - 8 | + 1 = 10$

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

Review

Filters

Exam 2: Linear and Quadratic Functions

Determine the slope and y-intercept of the function. -f(x) = 2x + 11

Graph the function. State whether it is increasing, decreasing, or constant.. - f(x)=2x+4f(x)=2 x+4f(x)=2x+4 A) decreasing B) increasing C) increasing D) increasing

Solve the problem. -Linda needs to have her car towed. Little Town Auto charges a flat fee of $75 plus $3 per mile towed. Write a function expressing Linda's towing cost, c, in terms of miles towed, x. Find the cost of having a car towed 3 Miles.

Graph the function f by starting with the graph of y y=x2y = x ^ { 2 }y=x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=4x2f ( x ) = 4 x ^ { 2 }f(x)=4x2 A) B) C) D)

Determine the average rate of change for the function. -p(x) = -x + 1

Graph the function. State whether it is increasing, decreasing, or constant.. - f(x)=12x−2f ( x ) = \frac { 1 } { 2 } x - 2f(x)=21​x−2 A) increasing B) increasing C) decreasing D) increasing

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - g(x)=25x2+30x+8g ( x ) = 25 x ^ { 2 } + 30 x + 8g(x)=25x2+30x+8

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x∣<4| x | < 4∣x∣<4

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - h(x)=x2+5x−14h ( x ) = x ^ { 2 } + 5 x - 14h(x)=x2+5x−14

Solve the problem. -Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.50. The total cost to regrind 90 platens is $400. Find the linear cost function to regrind platens. If reground platens sell for $8.00 each, how Many must be reground and sold to break even?

Solve the problem. -If g(x)=x2−3x−18g ( x ) = x ^ { 2 } - 3 x - 18g(x)=x2−3x−18 , solve g(x)≤0g ( x ) \leq 0g(x)≤0 .

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x−10∣>14| x - 10 | > 14∣x−10∣>14

Solve the inequality. - x2−4x−5≤0x ^ { 2 } - 4 x - 5 \leq 0x2−4x−5≤0

Solve the problem. -A truck rental company rents a moving truck one day by charging $39 plus $0.09 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost Of renting the truck if the truck is driven 120 miles?

Determine the domain and the range of the function. - f(x)=−x2−4x+5f ( x ) = - x ^ { 2 } - 4 x + 5f(x)=−x2−4x+5

Solve the problem. -Suppose that f(x)=−x−7f ( x ) = - x - 7f(x)=−x−7 and g(x)=x−18g ( x ) = x - 18g(x)=x−18 . (a) Solve f(x)>0f ( x ) > 0f(x)>0 . (b) Solve g(x)>0g ( x ) > 0g(x)>0 . (c) Solve f(x)≤g(x)\mathrm { f } ( \mathrm { x } ) \leq \mathrm { g } ( \mathrm { x } )f(x)≤g(x) .

Match the graph to one of the listed functions. -

Solve the equation. - ∣b−8∣+1=10| b - 8 | + 1 = 10∣b−8∣+1=10

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

Review

Filters

Graph the function. State whether it is increasing, decreasing, or constant.. - $f(x)=2 x+4$ A) decreasing B) increasing C) increasing D) increasing

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 25 x ^ { 2 } + 30 x + 8$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x | < 4$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $h ( x ) = x ^ { 2 } + 5 x - 14$

Solve the problem. -If $g ( x ) = x ^ { 2 } - 3 x - 18$ , solve $g ( x ) \leq 0$ .

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 10 | > 14$

Solve the inequality. - $x ^ { 2 } - 4 x - 5 \leq 0$

Determine the domain and the range of the function. - $f ( x ) = - x ^ { 2 } - 4 x + 5$

Solve the problem. -Suppose that $f ( x ) = - x - 7$ and $g ( x ) = x - 18$ . (a) Solve $f ( x ) > 0$ . (b) Solve $g ( x ) > 0$ . (c) Solve $\mathrm { f } ( \mathrm { x } ) \leq \mathrm { g } ( \mathrm { x } )$ .

Solve the equation. - $| b - 8 | + 1 = 10$