Find the requested value. -Using the given tables, find ( $\mathrm { f } g$ ) $( 2 )$ $\begin{array}{l} \begin{array}{l|r|r|r|r} \mathrm{x} & 9 & 5 & 1 & 3 \\\\ \hline \mathrm{f}(\mathrm{x}) & 18 & 10 & 2 & 6 \end{array}\\ \begin{array}{l|l|l|l|l} \mathrm{x} & 4 & 2 & 5 & 3 \\ \hline \mathrm{g}(\mathrm{x}) & 7 & 3 & 9 & 5 \end{array} \end{array}$

A) 3 B) 6 C) 10 D) 2 A) 3 B) 6 C) 10 D) 2

Exam 3: Graphs and Functions

shown in the graph below. How high will the projectile be after 0.9 s? A) 600 ft B) 550 ft C) 500 ft D) 450 ft Answer: B -The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 5 cm.

(Multiple Choice)

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Question 141

Refer to the following graphs to determine an appropriate response. -Which one is the graph of $y = [ [ x ] ]$ ? What is the value of $y$ when $x = - 1.5$ ?

(Multiple Choice)

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Question 142

Match the equation with the correct graph. - $y = - \frac { 1 } { 4 } x - 3$

(Multiple Choice)

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(35)

Question 143

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = 6 - 7 x , g ( x ) = - 9 x + 7$ Find $( f + g ) ( x )$ .

(Multiple Choice)

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Question 144

Give the domain and range of the relation. - $y = x ^ { 2 } + 1$

(Multiple Choice)

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Question 145

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = ( x - 7 ) ^ { 2 }$

(Multiple Choice)

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Question 146

Graph the function. - $f(x)=-(x-6)^{2}-2$ $Graph the function. - f(x)=-(x-6)^{2}-2$

(Multiple Choice)

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Question 147

Decide whether the relation defines a function. -

(Multiple Choice)

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Question 148

Give the domain and range of the relation. -

(Multiple Choice)

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Question 149

Find the requested value. -Using the given tables, find ( $\mathrm { f } g$ ) $( 2 )$ 9 5 1 3 () 18 10 2 6 4 2 5 3 () 7 3 9 5

(Multiple Choice)

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Question 150

Write an equation for the line described. Write the equation in the form specified. -perpendicular to $5 x - 9 y = - 20$ , through $( 5 , - 5 )$ ; standard form

(Multiple Choice)

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Question 151

Graph the function. - $f ( x ) = ( x + 3 ) ^ { 2 }$ $Graph the function. - f ( x ) = ( x + 3 ) ^ { 2 }$

(Multiple Choice)

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Question 152

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

(Multiple Choice)

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Question 153

Find the average rate of change illustrated in the graph. -A lumber yard has fixed costs of $2590.80 per day and variable costs of $0.34 per board-foot produced. Lumber sells for $1.54 per board-foot. How many board-feet must be produced and Sold daily to break even?

(Multiple Choice)

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Question 154

Consider the function h as defined. Find functions f and g so that (f  g)(x) = h(x). - $h ( x ) = \frac { 3 } { x ^ { 2 } } + 8$

(Multiple Choice)

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(38)

Question 155

Graph the function. - $f ( x ) = \left\{ \begin{array} { l } 9 x + 10 , \text { if } x < 0 \\2 x ^ { 2 } - 1 \text { if } x \geq 0\end{array} \right.$ $Graph the function. - f ( x ) = \left\{ \begin{array} { l } 9 x + 10 , \text { if } x < 0 \\ 2 x ^ { 2 } - 1 \text { if } x \geq 0 \end{array} \right.$

(Multiple Choice)

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Question 156

Graph the function. - $f(x)=7(-x)^{3}$ $Graph the function. - f(x)=7(-x)^{3}$

(Multiple Choice)

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(27)

Question 157

For the points P and Q, find the coordinates of the midpoint of the segment PQ. - $P ( 5 \sqrt { 5 } , \sqrt { 11 } ) , Q ( - \sqrt { 5 } , 4 \sqrt { 11 } )$

(Multiple Choice)

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Question 158

Graph the equation by plotting points. - $y=\sqrt{x}+3$ $Graph the equation by plotting points. - y=\sqrt{x}+3$

(Multiple Choice)

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Question 159

Give the domain and range of the relation. - $y = \sqrt { 4 + x }$

(Multiple Choice)

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Question 160

shown in the graph below. How high will the projectile be after 0.9 s? A) 600 ft B) 550 ft C) 500 ft D) 450 ft Answer: B -The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 5 cm.

Refer to the following graphs to determine an appropriate response. -Which one is the graph of $y = [ [ x ] ]$ ? What is the value of $y$ when $x = - 1.5$ ?

Match the equation with the correct graph. - $y = - \frac { 1 } { 4 } x - 3$

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = 6 - 7 x , g ( x ) = - 9 x + 7$ Find $( f + g ) ( x )$ .

Give the domain and range of the relation. - $y = x ^ { 2 } + 1$

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = ( x - 7 ) ^ { 2 }$

Graph the function. - $f(x)=-(x-6)^{2}-2$ $Graph the function. - f(x)=-(x-6)^{2}-2$

Decide whether the relation defines a function. -

Give the domain and range of the relation. -

Find the requested value. -Using the given tables, find ( $\mathrm { f } g$ ) $( 2 )$ 9 5 1 3 () 18 10 2 6 4 2 5 3 () 7 3 9 5

Write an equation for the line described. Write the equation in the form specified. -perpendicular to $5 x - 9 y = - 20$ , through $( 5 , - 5 )$ ; standard form

Graph the function. - $f ( x ) = ( x + 3 ) ^ { 2 }$ $Graph the function. - f ( x ) = ( x + 3 ) ^ { 2 }$

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

Find the average rate of change illustrated in the graph. -A lumber yard has fixed costs of $2590.80 per day and variable costs of $0.34 per board-foot produced. Lumber sells for $1.54 per board-foot. How many board-feet must be produced and Sold daily to break even?

Consider the function h as defined. Find functions f and g so that (f  g)(x) = h(x). - $h ( x ) = \frac { 3 } { x ^ { 2 } } + 8$

Graph the function. - $f(x)=7(-x)^{3}$ $Graph the function. - f(x)=7(-x)^{3}$

For the points P and Q, find the coordinates of the midpoint of the segment PQ. - $P ( 5 \sqrt { 5 } , \sqrt { 11 } ) , Q ( - \sqrt { 5 } , 4 \sqrt { 11 } )$

Graph the equation by plotting points. - $y=\sqrt{x}+3$ $Graph the equation by plotting points. - y=\sqrt{x}+3$

Give the domain and range of the relation. - $y = \sqrt { 4 + x }$

Review of Basic Concepts

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Exam 3: Graphs and Functions

shown in the graph below. How high will the projectile be after 0.9 s? A) 600 ft B) 550 ft C) 500 ft D) 450 ft Answer: B -The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 5 cm.

Refer to the following graphs to determine an appropriate response. -Which one is the graph of y=[[x]]y = [ [ x ] ]y=[[x]] ? What is the value of yyy when x=−1.5x = - 1.5x=−1.5 ?

Match the equation with the correct graph. - y=−14x−3y = - \frac { 1 } { 4 } x - 3y=−41​x−3

For the pair of functions, find the indicated sum, difference, product, or quotient. - f(x)=6−7x,g(x)=−9x+7f ( x ) = 6 - 7 x , g ( x ) = - 9 x + 7f(x)=6−7x,g(x)=−9x+7 Find (f+g)(x)( f + g ) ( x )(f+g)(x) .

Give the domain and range of the relation. - y=x2+1y = x ^ { 2 } + 1y=x2+1

Describe how the graph of the equation relates to the graph of y y=x2y = x ^ { 2 }y=x2 - f(x)=(x−7)2f ( x ) = ( x - 7 ) ^ { 2 }f(x)=(x−7)2

Graph the function. - f(x)=−(x−6)2−2f(x)=-(x-6)^{2}-2f(x)=−(x−6)2−2

Decide whether the relation defines a function. -

Give the domain and range of the relation. -

Find the requested value. -Using the given tables, find ( fg\mathrm { f } gfg ) (2)( 2 )(2) 9 5 1 3 () 18 10 2 6 4 2 5 3 () 7 3 9 5

Write an equation for the line described. Write the equation in the form specified. -perpendicular to 5x−9y=−205 x - 9 y = - 205x−9y=−20 , through (5,−5)( 5 , - 5 )(5,−5) ; standard form

Graph the function. - f(x)=(x+3)2f ( x ) = ( x + 3 ) ^ { 2 }f(x)=(x+3)2

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

Find the average rate of change illustrated in the graph. -A lumber yard has fixed costs of $2590.80 per day and variable costs of $0.34 per board-foot produced. Lumber sells for $1.54 per board-foot. How many board-feet must be produced and Sold daily to break even?

Consider the function h as defined. Find functions f and g so that (f  g)(x) = h(x). - h(x)=3x2+8h ( x ) = \frac { 3 } { x ^ { 2 } } + 8h(x)=x23​+8

Graph the function. - f(x)={9x+10, if x<02x2−1 if x≥0f ( x ) = \left\{ \begin{array} { l } 9 x + 10 , \text { if } x < 0 \\2 x ^ { 2 } - 1 \text { if } x \geq 0\end{array} \right.f(x)={9x+10, if x<02x2−1 if x≥0​

Graph the function. - f(x)=7(−x)3f(x)=7(-x)^{3}f(x)=7(−x)3

For the points P and Q, find the coordinates of the midpoint of the segment PQ. - P(55,11),Q(−5,411)P ( 5 \sqrt { 5 } , \sqrt { 11 } ) , Q ( - \sqrt { 5 } , 4 \sqrt { 11 } )P(55​,11​),Q(−5​,411​)

Graph the equation by plotting points. - y=x+3y=\sqrt{x}+3y=x​+3

Give the domain and range of the relation. - y=4+xy = \sqrt { 4 + x }y=4+x​

Review of Basic Concepts

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Refer to the following graphs to determine an appropriate response. -Which one is the graph of $y = [ [ x ] ]$ ? What is the value of $y$ when $x = - 1.5$ ?

Match the equation with the correct graph. - $y = - \frac { 1 } { 4 } x - 3$

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = 6 - 7 x , g ( x ) = - 9 x + 7$ Find $( f + g ) ( x )$ .

Give the domain and range of the relation. - $y = x ^ { 2 } + 1$

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = ( x - 7 ) ^ { 2 }$

Graph the function. - $f(x)=-(x-6)^{2}-2$ $Graph the function. - f(x)=-(x-6)^{2}-2$

Find the requested value. -Using the given tables, find ( $\mathrm { f } g$ ) $( 2 )$ 9 5 1 3 () 18 10 2 6 4 2 5 3 () 7 3 9 5

Write an equation for the line described. Write the equation in the form specified. -perpendicular to $5 x - 9 y = - 20$ , through $( 5 , - 5 )$ ; standard form

Graph the function. - $f ( x ) = ( x + 3 ) ^ { 2 }$ $Graph the function. - f ( x ) = ( x + 3 ) ^ { 2 }$

Consider the function h as defined. Find functions f and g so that (f  g)(x) = h(x). - $h ( x ) = \frac { 3 } { x ^ { 2 } } + 8$

Graph the function. - $f(x)=7(-x)^{3}$ $Graph the function. - f(x)=7(-x)^{3}$

For the points P and Q, find the coordinates of the midpoint of the segment PQ. - $P ( 5 \sqrt { 5 } , \sqrt { 11 } ) , Q ( - \sqrt { 5 } , 4 \sqrt { 11 } )$

Graph the equation by plotting points. - $y=\sqrt{x}+3$ $Graph the equation by plotting points. - y=\sqrt{x}+3$

Give the domain and range of the relation. - $y = \sqrt { 4 + x }$