Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -$\begin{array}{l|lllll} \mathrm{x} & 6 & 8 & 20 & 28 & 36 \\ \hline \mathrm{y} & 2 & 4 & 13 & 20 & 30 \end{array}$

A) $y = 0.95 x - 2.79$ B) $y = 0.80 x - 3.79$ C) $y = 0.85 x - 2.79$ D) $y = 0.90 x - 3.79$ A) $y = 0.95 x - 2.79$ B) $y = 0.80 x - 3.79$ C) $y = 0.85 x - 2.79$ D) $y = 0.90 x - 3.79$

Exam 2: Linear and Quadratic Functions

Solve the problem. -Consider the quadratic model h( $h ( t ) = - 16 t ^ { 2 } + 40 t + 50$ for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air. Find the maximum height attained by the object. How much Time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

(Multiple Choice)

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Question 21

Determine where the function is increasing and where it is decreasing. - $f ( x ) = x ^ { 2 } - 4 x + 3$

(Multiple Choice)

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Question 22

Graph the function. State whether it is increasing, decreasing, or constant.. - $h ( x ) = - 3 x - 4$

(Multiple Choice)

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Question 23

Solve the problem. -A lumber yard has fixed costs of $4,726.80 per day and variable costs of $0.1 per board-foot produced. Lumber sells for $1.90 per board-foot. How many board-feet must be produced and sold daily to break even?

(Multiple Choice)

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Question 24

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 6 8 20 28 36 2 4 13 20 30

(Multiple Choice)

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Question 25

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } + 4 x + 5 = 0$

(Multiple Choice)

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Question 26

Graph the function using its vertex, axis of symmetry, and intercepts. - $f(x)=x^{2}+12 x$ $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=x^{2}+12 x A) vertex (-6,36) intercept (0,72) B) \begin{array}{l} \text { vertex }(6,36) \\ \text { intercept }(0,72) \end{array} C) \begin{array}{l} \text { vertex }(6,-36) \\ \text { intercepts }(0,0),(12,0) \end{array} D) \begin{array}{l} \text { vertex }(-6,-36) \\ \text { intercepts }(0,0),(-12,0) \end{array}$ A) vertex $(-6,36)$ intercept $(0,72)$ $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=x^{2}+12 x A) vertex (-6,36) intercept (0,72) B) \begin{array}{l} \text { vertex }(6,36) \\ \text { intercept }(0,72) \end{array} C) \begin{array}{l} \text { vertex }(6,-36) \\ \text { intercepts }(0,0),(12,0) \end{array} D) \begin{array}{l} \text { vertex }(-6,-36) \\ \text { intercepts }(0,0),(-12,0) \end{array}$ B) vertex (6,36) intercept (0,72) $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=x^{2}+12 x A) vertex (-6,36) intercept (0,72) B) \begin{array}{l} \text { vertex }(6,36) \\ \text { intercept }(0,72) \end{array} C) \begin{array}{l} \text { vertex }(6,-36) \\ \text { intercepts }(0,0),(12,0) \end{array} D) \begin{array}{l} \text { vertex }(-6,-36) \\ \text { intercepts }(0,0),(-12,0) \end{array}$ C) vertex (6,-36) intercepts (0,0),(12,0) $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=x^{2}+12 x A) vertex (-6,36) intercept (0,72) B) \begin{array}{l} \text { vertex }(6,36) \\ \text { intercept }(0,72) \end{array} C) \begin{array}{l} \text { vertex }(6,-36) \\ \text { intercepts }(0,0),(12,0) \end{array} D) \begin{array}{l} \text { vertex }(-6,-36) \\ \text { intercepts }(0,0),(-12,0) \end{array}$ D) vertex (-6,-36) intercepts (0,0),(-12,0) $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=x^{2}+12 x A) vertex (-6,36) intercept (0,72) B) \begin{array}{l} \text { vertex }(6,36) \\ \text { intercept }(0,72) \end{array} C) \begin{array}{l} \text { vertex }(6,-36) \\ \text { intercepts }(0,0),(12,0) \end{array} D) \begin{array}{l} \text { vertex }(-6,-36) \\ \text { intercepts }(0,0),(-12,0) \end{array}$

(Multiple Choice)

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Question 27

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 36$

(Multiple Choice)

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Question 28

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching, and/or reflection). - $f ( x ) = \frac { 1 } { 3 } x ^ { 2 } + 5$ $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = \frac { 1 } { 3 } x ^ { 2 } + 5 A) B) C) D)$ A) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = \frac { 1 } { 3 } x ^ { 2 } + 5 A) B) C) D)$ B) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = \frac { 1 } { 3 } x ^ { 2 } + 5 A) B) C) D)$ C) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = \frac { 1 } { 3 } x ^ { 2 } + 5 A) B) C) D)$ D) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f ( x ) = \frac { 1 } { 3 } x ^ { 2 } + 5 A) B) C) D)$

(Multiple Choice)

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Question 29

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $h ( x ) = 5 x ^ { 4 } - 497 x ^ { 2 } - 300$

(Multiple Choice)

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Question 30

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $f ( x ) = 2 ( x + 1 ) ^ { 2 } + 15 ( x + 1 ) + 25$

(Multiple Choice)

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Question 31

Solve the problem. -The following scatter diagram shows heights (in inches) of children and their ages. $\text { Height (inches) }$ $Solve the problem. -The following scatter diagram shows heights (in inches) of children and their ages. \text { Height (inches) } Age (years) What is the expected height range for a 2-year old child?$ Age (years) What is the expected height range for a 2-year old child?

(Multiple Choice)

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Question 32

Find the zero of the linear function. -h(x) = 11 - x

(Multiple Choice)

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Question 33

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x + 2 | + 4 \geq 8$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x + 2 | + 4 \geq 8$

(Multiple Choice)

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Question 34

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 4 x ^ { 2 } - 2 x - 6$

(Multiple Choice)

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Question 35

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 2 } + 6 x - 40$

(Multiple Choice)

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Question 36

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. - $h ( x ) = x ^ { 2 } - 4 x + 20$

(Multiple Choice)

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Question 37

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching, and/or reflection). - $f(x)=-x^{2}+1$ $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=-x^{2}+1 A) B) C) D)$ A) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=-x^{2}+1 A) B) C) D)$ B) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=-x^{2}+1 A) B) C) D)$ C) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=-x^{2}+1 A) B) C) D)$ D) $Graph the function f by starting with the graph of y y = x ^ { 2 } and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=-x^{2}+1 A) B) C) D)$

(Multiple Choice)

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Question 38

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)

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Question 39

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } - 8 x + 16 = 0$

(Multiple Choice)

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Question 40

Showing 21 - 40 of 301

Determine where the function is increasing and where it is decreasing. - $f ( x ) = x ^ { 2 } - 4 x + 3$

Graph the function. State whether it is increasing, decreasing, or constant.. - $h ( x ) = - 3 x - 4$

Solve the problem. -A lumber yard has fixed costs of $4,726.80 per day and variable costs of $0.1 per board-foot produced. Lumber sells for $1.90 per board-foot. How many board-feet must be produced and sold daily to break even?

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 6 8 20 28 36 2 4 13 20 30

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } + 4 x + 5 = 0$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 36$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $h ( x ) = 5 x ^ { 4 } - 497 x ^ { 2 } - 300$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $f ( x ) = 2 ( x + 1 ) ^ { 2 } + 15 ( x + 1 ) + 25$

Find the zero of the linear function. -h(x) = 11 - x

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x + 2 | + 4 \geq 8$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x + 2 | + 4 \geq 8$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 4 x ^ { 2 } - 2 x - 6$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 2 } + 6 x - 40$

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. - $h ( x ) = x ^ { 2 } - 4 x + 20$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 3 x - 108$

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } - 8 x + 16 = 0$

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 where the function is increasing and where it is decreasing. - f(x)=x2−4x+3f ( x ) = x ^ { 2 } - 4 x + 3f(x)=x2−4x+3

Graph the function. State whether it is increasing, decreasing, or constant.. - h(x)=−3x−4h ( x ) = - 3 x - 4h(x)=−3x−4

Solve the problem. -A lumber yard has fixed costs of $4,726.80 per day and variable costs of $0.1 per board-foot produced. Lumber sells for $1.90 per board-foot. How many board-feet must be produced and sold daily to break even?

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 6 8 20 28 36 2 4 13 20 30

Without solving, determine the character of the solutions of the equation. - x2+4x+5=0x ^ { 2 } + 4 x + 5 = 0x2+4x+5=0

Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=x2+12xf(x)=x^{2}+12 xf(x)=x2+12x A) vertex (−6,36) (-6,36) (−6,36) intercept (0,72) (0,72) (0,72) B) vertex (6,36) intercept (0,72) C) vertex (6,-36) intercepts (0,0),(12,0) D) vertex (-6,-36) intercepts (0,0),(-12,0)

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - f(x)=x2−36f ( x ) = x ^ { 2 } - 36f(x)=x2−36

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)=13x2+5f ( x ) = \frac { 1 } { 3 } x ^ { 2 } + 5f(x)=31​x2+5 A) B) C) D)

Find the real zeros of the function. List the x-intercepts of the graph of the function. - h(x)=5x4−497x2−300h ( x ) = 5 x ^ { 4 } - 497 x ^ { 2 } - 300h(x)=5x4−497x2−300

Find the real zeros of the function. List the x-intercepts of the graph of the function. - f(x)=2(x+1)2+15(x+1)+25f ( x ) = 2 ( x + 1 ) ^ { 2 } + 15 ( x + 1 ) + 25f(x)=2(x+1)2+15(x+1)+25

Solve the problem. -The following scatter diagram shows heights (in inches) of children and their ages. Height (inches) \text { Height (inches) } Height (inches) Age (years) What is the expected height range for a 2-year old child?

Find the zero of the linear function. -h(x) = 11 - x

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x+2∣+4≥8| x + 2 | + 4 \geq 8∣x+2∣+4≥8

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - g(x)=4x2−2x−6g ( x ) = 4 x ^ { 2 } - 2 x - 6g(x)=4x2−2x−6

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - F(x)=x2+6x−40F ( x ) = x ^ { 2 } + 6 x - 40F(x)=x2+6x−40

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)=x2−4x+20h ( x ) = x ^ { 2 } - 4 x + 20h(x)=x2−4x+20

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)=−x2+1f(x)=-x^{2}+1f(x)=−x2+1 A) B) C) D)

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

Without solving, determine the character of the solutions of the equation. - x2−8x+16=0x ^ { 2 } - 8 x + 16 = 0x2−8x+16=0

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

Determine where the function is increasing and where it is decreasing. - $f ( x ) = x ^ { 2 } - 4 x + 3$

Graph the function. State whether it is increasing, decreasing, or constant.. - $h ( x ) = - 3 x - 4$

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } + 4 x + 5 = 0$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 36$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $h ( x ) = 5 x ^ { 4 } - 497 x ^ { 2 } - 300$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $f ( x ) = 2 ( x + 1 ) ^ { 2 } + 15 ( x + 1 ) + 25$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x + 2 | + 4 \geq 8$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x + 2 | + 4 \geq 8$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 4 x ^ { 2 } - 2 x - 6$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 2 } + 6 x - 40$

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. - $h ( x ) = x ^ { 2 } - 4 x + 20$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 3 x - 108$

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } - 8 x + 16 = 0$