Exam 1: Functions and Their Graphs

Given the functi is the point (-1, 4) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } - 9 } { x + 2 }$ Given the functi , if x = -1, what is f(x)? What point is on the graph of f?

(Multiple Choice)

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Question 161

Match the graph to the function listed whose graph most resembles the one given. -

(Multiple Choice)

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Question 162

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(1, 2)

(Multiple Choice)

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Question 163

Match the graph to the function listed whose graph most resembles the one given. -

(Multiple Choice)

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Question 164

Find the value for the function. - $\text { Find } f ( - 9 ) \text { when } f ( x ) = | x | - 6$

(Multiple Choice)

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Question 165

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) =(x+7)³ -1

(Multiple Choice)

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Question 166

Solve the problem. -Two boats leave a dock at the same time. One boat is headed directly east at a constant speed of 35 knots (nautical miles per hour), and the other is headed directly south at a constant speed of 22 knots. Express the distance d between the boats as a function of the time t.

(Short Answer)

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Question 167

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(-8, -2.5)

(Multiple Choice)

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Question 168

Graph the function. - $f ( x ) = | x |$

(Multiple Choice)

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Question 169

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

(Multiple Choice)

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Question 170

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | - x |$

(Multiple Choice)

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Question 171

Solve the problem. -A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11 inches by 23 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

(Multiple Choice)

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Question 172

Find the domain of the function. - $g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }$

(Multiple Choice)

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Question 173

Find the average rate of change for the function between the given values. - $f ( x ) = x ^ { 3 } + x ^ { 2 } - 8 x - 7$ from 0 to 2

(Multiple Choice)

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Question 174

Determine whether the equation defines y as a function of x. - $y ^ { 2 } = 5 - x ^ { 2 }$

(Multiple Choice)

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Question 175

Answer the question about the given function. -Given the functi $f ( x ) = x ^ { 2 } + 2 x - 99$ , list the x-intercepts, if any, of the graph of f.

(Multiple Choice)

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Question 176

For the given functions f and g, find the requested function and state its domain. - $f ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }$ Find f · g.

(Multiple Choice)

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Question 177

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

(Multiple Choice)

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Question 178

Find the value for the function. -Find f( $f ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }$

(Multiple Choice)

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Question 179

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = x ^ { 2 } + 4$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = x ^ { 2 } + 4$

(Multiple Choice)

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Question 180

Showing 161 - 180 of 276

Given the functi is the point (-1, 4) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } - 9 } { x + 2 }$ Given the functi , if x = -1, what is f(x)? What point is on the graph of f?

Match the graph to the function listed whose graph most resembles the one given. -

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(1, 2)

Match the graph to the function listed whose graph most resembles the one given. -

Find the value for the function. - $\text { Find } f ( - 9 ) \text { when } f ( x ) = | x | - 6$

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) =(x+7)³ -1

Solve the problem. -Two boats leave a dock at the same time. One boat is headed directly east at a constant speed of 35 knots (nautical miles per hour), and the other is headed directly south at a constant speed of 22 knots. Express the distance d between the boats as a function of the time t.

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(-8, -2.5)

Graph the function. - $f ( x ) = | x |$

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | - x |$

Solve the problem. -A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11 inches by 23 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

Find the domain of the function. - $g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }$

Find the average rate of change for the function between the given values. - $f ( x ) = x ^ { 3 } + x ^ { 2 } - 8 x - 7$ from 0 to 2

Determine whether the equation defines y as a function of x. - $y ^ { 2 } = 5 - x ^ { 2 }$

Answer the question about the given function. -Given the functi $f ( x ) = x ^ { 2 } + 2 x - 99$ , list the x-intercepts, if any, of the graph of f.

For the given functions f and g, find the requested function and state its domain. - $f ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }$ Find f · g.

Find the value for the function. -Find f( $f ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }$

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Exam 1: Functions and Their Graphs

Given the functi is the point (-1, 4) on the graph of f? - f(x)=x2−9x+2f ( x ) = \frac { x ^ { 2 } - 9 } { x + 2 }f(x)=x+2x2−9​ Given the functi , if x = -1, what is f(x)? What point is on the graph of f?

Match the graph to the function listed whose graph most resembles the one given. -

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(1, 2)

Match the graph to the function listed whose graph most resembles the one given. -

Find the value for the function. - Find f(−9) when f(x)=∣x∣−6\text { Find } f ( - 9 ) \text { when } f ( x ) = | x | - 6 Find f(−9) when f(x)=∣x∣−6

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) =(x+7)3 -1

Solve the problem. -Two boats leave a dock at the same time. One boat is headed directly east at a constant speed of 35 knots (nautical miles per hour), and the other is headed directly south at a constant speed of 22 knots. Express the distance d between the boats as a function of the time t.

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(-8, -2.5)

Graph the function. - f(x)=∣x∣f ( x ) = | x |f(x)=∣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. -

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)=∣−x∣f ( x ) = | - x |f(x)=∣−x∣

Solve the problem. -A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11 inches by 23 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

Find the domain of the function. - g(x)=2xx2−81g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }g(x)=x2−812x​

Find the average rate of change for the function between the given values. - f(x)=x3+x2−8x−7f ( x ) = x ^ { 3 } + x ^ { 2 } - 8 x - 7f(x)=x3+x2−8x−7 from 0 to 2

Determine whether the equation defines y as a function of x. - y2=5−x2y ^ { 2 } = 5 - x ^ { 2 }y2=5−x2

Answer the question about the given function. -Given the functi f(x)=x2+2x−99f ( x ) = x ^ { 2 } + 2 x - 99f(x)=x2+2x−99 , list the x-intercepts, if any, of the graph of f.

For the given functions f and g, find the requested function and state its domain. - f(x)=x+13;g(x)=4xf ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }f(x)=x+13​;g(x)=x4​ Find f · g.

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)=1x+3f ( x ) = \frac { 1 } { x } + 3f(x)=x1​+3

Find the value for the function. -Find f( f(2x) when f(x)=5x2+9xf ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }f(2x) when f(x)=5x2+9x​

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)=x2+4f ( x ) = x ^ { 2 } + 4f(x)=x2+4

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Given the functi is the point (-1, 4) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } - 9 } { x + 2 }$ Given the functi , if x = -1, what is f(x)? What point is on the graph of f?

Find the value for the function. - $\text { Find } f ( - 9 ) \text { when } f ( x ) = | x | - 6$

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) =(x+7)³ -1

Graph the function. - $f ( x ) = | x |$

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | - x |$

Find the domain of the function. - $g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }$

Find the average rate of change for the function between the given values. - $f ( x ) = x ^ { 3 } + x ^ { 2 } - 8 x - 7$ from 0 to 2

Determine whether the equation defines y as a function of x. - $y ^ { 2 } = 5 - x ^ { 2 }$

Answer the question about the given function. -Given the functi $f ( x ) = x ^ { 2 } + 2 x - 99$ , list the x-intercepts, if any, of the graph of f.

For the given functions f and g, find the requested function and state its domain. - $f ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }$ Find f · g.

Find the value for the function. -Find f( $f ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }$