Determine whether the relation represents a function. If it is a function, state the domain and range. -$\begin{aligned} 4 & \rightarrow 8 \\ 9 & \rightarrow 18 \\ 14 & \rightarrow 28 \\ 19 & \rightarrow 38 \end{aligned}$

A) function domain: $ \{8,18,28,38\} $ range: $ \{4,9,14,19\} $ B) function domain: $ \{4,9,14,19\} $ range: $ \{8,18,28,38\} $ C) $\text { not a function }$ A) function domain: $ \{8,18,28,38\} $ range: $ \{4,9,14,19\} $ B) function domain: $ \{4,9,14,19\} $ range: $ \{8,18,28,38\} $ C) $\text { not a function }$

Exam 1: Functions and Their Graphs

Find and simplify the difference quotient of f, $\frac { f ( x + h ) - f ( x ) } { h }$ $\mathbf { h } \neq 0$ , for the function. - $Find and simplify the difference quotient of f, \frac { f ( x + h ) - f ( x ) } { h } \mathbf { h } \neq 0 , for the function. - A) \begin{array}{l} \text { function } \\ \text { domain: }\{x \mid-\pi \leq x \leq \pi\} \\ \text { range: }\{y \mid-1 \leq y \leq 1\} \\ \text { intercepts: }(-\pi, 0),(0,0),(\pi, 0) \\ \text { symmetry: origin } \end{array} B) function domain: all real numbers range: \{y \mid-1 \leq y \leq 1\} intercepts: (-\pi, 0),(0,0),(\pi, 0) symmetry: origin C) function domain: \{x \mid-1 \leq x \leq 1\} range: \{y \mid-\pi \leq y \leq \pi\} intercepts: (-\pi, 0),(0,0),(\pi, 0) symmetry: none D) not function$ A) function domain: \{x\mid-\pi\leqx\leq\pi\} range: \{y\mid-1\leqy\leq1\} intercepts: (-\pi,0),(0,0),(\pi,0) symmetry: origin B) function domain: all real numbers range: $\{y \mid-1 \leq y \leq 1\}$ intercepts: $(-\pi, 0),(0,0),(\pi, 0)$ symmetry: origin C) function domain: $\{x \mid-1 \leq x \leq 1\}$ range: $\{y \mid-\pi \leq y \leq \pi\}$ intercepts: $(-\pi, 0),(0,0),(\pi, 0)$ symmetry: none D) not function

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Question 101

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = 3 ( x + 1 ) ^ { 2 } + 2$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = 3 ( x + 1 ) ^ { 2 } + 2 A) B) C) D)$ A) $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = 3 ( x + 1 ) ^ { 2 } + 2 A) B) C) D)$ B) $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = 3 ( x + 1 ) ^ { 2 } + 2 A) B) C) D)$ C) $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = 3 ( x + 1 ) ^ { 2 } + 2 A) B) C) D)$ D) $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = 3 ( x + 1 ) ^ { 2 } + 2 A) B) C) D)$

(Multiple Choice)

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Question 102

Determine whether the relation represents a function. If it is a function, state the domain and range. - 4 \rightarrow8 9 \rightarrow18 14 \rightarrow28 19 \rightarrow38

(Multiple Choice)

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Question 103

Find the domain of the function. -

(Multiple Choice)

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Question 104

Answer the question about the given function. -Given the functi $f ( x ) = 5 x ^ { 2 } - 10 x - 7$ , is the point (1, -12) on the graph of f?

(Multiple Choice)

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Question 105

Graph the function. - $f ( x ) = \sqrt { x }$ $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$ A) $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$ B) $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$ C) $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$ D) $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$

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Question 106

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places. - $f ( x ) = 2 + 8 x - x 2 ; ( - 5,5 )$

(Multiple Choice)

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Question 107

Find the domain of the function. - $\frac { x } { \sqrt { x - 2 } }$

(Multiple Choice)

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Question 108

Determine whether the relation represents a function. If it is a function, state the domain and range. -

(Multiple Choice)

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Question 109

Solve the problem. -Let $P = ( x , y )$ be a point on the graph of $y = \sqrt { x }$ . Express the distance $d$ from $P$ to the point $( 1,0 )$ as a function of $x$

(Multiple Choice)

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Question 110

Determine whether the relation represents a function. If it is a function, state the domain and range. -

(Multiple Choice)

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Question 111

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f(x)=-\sqrt{x}$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=-\sqrt{x} A) B) C) D)$ A) $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=-\sqrt{x} A) B) C) D)$ B) $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=-\sqrt{x} A) B) C) D)$ C) $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=-\sqrt{x} A) B) C) D)$ D) $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=-\sqrt{x} A) B) C) D)$

(Multiple Choice)

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Question 112

Find the average rate of change for the function between the given values. - $f ( x ) = \frac { 3 } { x - 2 } ; \text { from } 4 \text { to } 7$

(Multiple Choice)

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Question 113

Use the graph to find the intervals on which it is increasing, decreasing, or constant. -

(Multiple Choice)

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Question 114

Solve the problem. -A wire 20 feet long is to be cut into two pieces. One piece will be shaped as a square and the other piece will be shaped as an equilateral triangle. Express the total area A enclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle. What is the domain of A?

(Essay)

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Question 115

For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. -

(Multiple Choice)

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Question 116

Answer the question about the given function. -Given the function $f ( x ) = \frac { x ^ { 2 } + 3 } { x - 8 }$ , what is the domain of $f$ ?

(Multiple Choice)

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Question 117

The graph of a function is given. Decide whether it is even, odd, or neither. -

(Multiple Choice)

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Question 118

Solve the problem. -The price $p$ and $x$ , the quantity of a certain product sold, obey the demand equation $p = - \frac { 1 } { 10 } x + 100 , \{ x \mid 0 \leq x \leq 1000 \}$ a) Express the revenue $R$ as a function of $x$ . b) What is the revenue if 450 units are sold? c) Graph the revenue function using a graphing utility. d) What quantity x maximizes revenue? What is the maximum revenue? e) What price should the company charge to maximize revenue?

(Essay)

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Question 119

Use the graph to find the intervals on which it is increasing, decreasing, or constant. -

(Multiple Choice)

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Question 120

Showing 101 - 120 of 301

Determine whether the relation represents a function. If it is a function, state the domain and range. - 4 \rightarrow8 9 \rightarrow18 14 \rightarrow28 19 \rightarrow38

Find the domain of the function. -

Answer the question about the given function. -Given the functi $f ( x ) = 5 x ^ { 2 } - 10 x - 7$ , is the point (1, -12) on the graph of f?

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places. - $f ( x ) = 2 + 8 x - x 2 ; ( - 5,5 )$

Find the domain of the function. - $\frac { x } { \sqrt { x - 2 } }$

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Solve the problem. -Let $P = ( x , y )$ be a point on the graph of $y = \sqrt { x }$ . Express the distance $d$ from $P$ to the point $( 1,0 )$ as a function of $x$

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Find the average rate of change for the function between the given values. - $f ( x ) = \frac { 3 } { x - 2 } ; \text { from } 4 \text { to } 7$

Use the graph to find the intervals on which it is increasing, decreasing, or constant. -

For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. -

Answer the question about the given function. -Given the function $f ( x ) = \frac { x ^ { 2 } + 3 } { x - 8 }$ , what is the domain of $f$ ?

The graph of a function is given. Decide whether it is even, odd, or neither. -

Use the graph to find the intervals on which it is increasing, decreasing, or constant. -

Linear and Quadratic Functions

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 1: Functions and Their Graphs

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=3(x+1)2+2f ( x ) = 3 ( x + 1 ) ^ { 2 } + 2f(x)=3(x+1)2+2 A) B) C) D)

Determine whether the relation represents a function. If it is a function, state the domain and range. - 4 \rightarrow8 9 \rightarrow18 14 \rightarrow28 19 \rightarrow38

Find the domain of the function. -

Answer the question about the given function. -Given the functi f(x)=5x2−10x−7f ( x ) = 5 x ^ { 2 } - 10 x - 7f(x)=5x2−10x−7 , is the point (1, -12) on the graph of f?

Graph the function. - f(x)=xf ( x ) = \sqrt { x }f(x)=x​ A) B) C) D)

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places. - f(x)=2+8x−x2;(−5,5)f ( x ) = 2 + 8 x - x 2 ; ( - 5,5 )f(x)=2+8x−x2;(−5,5)

Find the domain of the function. - xx−2\frac { x } { \sqrt { x - 2 } }x−2​x​

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Solve the problem. -Let P=(x,y)P = ( x , y )P=(x,y) be a point on the graph of y=xy = \sqrt { x }y=x​ . Express the distance ddd from PPP to the point (1,0)( 1,0 )(1,0) as a function of xxx

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=−xf(x)=-\sqrt{x}f(x)=−x​ A) B) C) D)

Find the average rate of change for the function between the given values. - f(x)=3x−2; from 4 to 7f ( x ) = \frac { 3 } { x - 2 } ; \text { from } 4 \text { to } 7f(x)=x−23​; from 4 to 7

Use the graph to find the intervals on which it is increasing, decreasing, or constant. -

For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. -

Answer the question about the given function. -Given the function f(x)=x2+3x−8f ( x ) = \frac { x ^ { 2 } + 3 } { x - 8 }f(x)=x−8x2+3​ , what is the domain of fff ?

The graph of a function is given. Decide whether it is even, odd, or neither. -

Use the graph to find the intervals on which it is increasing, decreasing, or constant. -

Linear and Quadratic Functions

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

Answer the question about the given function. -Given the functi $f ( x ) = 5 x ^ { 2 } - 10 x - 7$ , is the point (1, -12) on the graph of f?

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places. - $f ( x ) = 2 + 8 x - x 2 ; ( - 5,5 )$

Find the domain of the function. - $\frac { x } { \sqrt { x - 2 } }$

Solve the problem. -Let $P = ( x , y )$ be a point on the graph of $y = \sqrt { x }$ . Express the distance $d$ from $P$ to the point $( 1,0 )$ as a function of $x$

Find the average rate of change for the function between the given values. - $f ( x ) = \frac { 3 } { x - 2 } ; \text { from } 4 \text { to } 7$

Answer the question about the given function. -Given the function $f ( x ) = \frac { x ^ { 2 } + 3 } { x - 8 }$ , what is the domain of $f$ ?