Exam 3: Functions

Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. - $f ( x ) = \sqrt { x + 2 }$ $Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. - f ( x ) = \sqrt { x + 2 }$

(Multiple Choice)

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Question 61

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

(Multiple Choice)

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Question 62

Use the graph to evaluate the expression. - $\text { Find } ( f \circ f ) ( - 1 ) \text { and } ( g \circ g ) ( 4 ) \text {. }$ . $Use the graph to evaluate the expression. - \text { Find } ( f \circ f ) ( - 1 ) \text { and } ( g \circ g ) ( 4 ) \text {. } .$

(Multiple Choice)

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Question 63

The graph of a function f is given. Use the graph to answer the question. -What is the domain of f? Write it in interval notation.

(Multiple Choice)

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Question 64

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

(Multiple Choice)

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Question 65

Find the domain of the composite function f g. Write the domain in interval notation. - $f ( x ) = 2 x + 12 ; g ( x ) = \sqrt { x }$

(Multiple Choice)

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Question 66

The graph of a function f is given. Use the graph to answer the question. -Is f(80)positive or negative?

(Multiple Choice)

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Question 67

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

(Multiple Choice)

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Question 68

Evaluate the function at the indicated value. - $\text { Find } f ( 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 4 } { x - 3 } \text {. }$

(Multiple Choice)

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Question 69

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

(Multiple Choice)

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Question 70

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(41, -2), (5, -1), (5, 0), (6, 1), (14, 3)}

(Multiple Choice)

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Question 71

The graph of a function f is given. Use the graph to answer the question. -For what values of x is f(x)= 0?

(Multiple Choice)

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Question 72

Find the x-intercept(s)and the y-intercept of the function. - $h ( x ) = x ^ { 2 } - 3 x + 2$

(Multiple Choice)

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Question 73

Find the x-intercept(s)and the y-intercept of the function. - $g ( x ) = 4 x + 9$

(Multiple Choice)

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Question 74

Find the intersection of the given intervals. - $( 7 , \infty ) \cup [ 16 , \infty )$

(Multiple Choice)

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Question 75

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = \frac { 1 } { 7 } x ^ { 2 }$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = \frac { 1 } { 7 } x ^ { 2 }$

(Multiple Choice)

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Question 76

Determine whether the equation defines y as a function of x. - $y ^ { 2 } + x = 8$

(Multiple Choice)

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Question 77

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f(x)=\sqrt{x-7}+2$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=\sqrt{x-7}+2$

(Multiple Choice)

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Question 78

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x ; \quad$ Find $f + g$

(Multiple Choice)

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Question 79

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { x } { x ^ { 2 } + 5 }$

(Multiple Choice)

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Question 80

Showing 61 - 80 of 247

Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. - $f ( x ) = \sqrt { x + 2 }$ $Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. - f ( x ) = \sqrt { x + 2 }$

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

Use the graph to evaluate the expression. - $\text { Find } ( f \circ f ) ( - 1 ) \text { and } ( g \circ g ) ( 4 ) \text {. }$ . $Use the graph to evaluate the expression. - \text { Find } ( f \circ f ) ( - 1 ) \text { and } ( g \circ g ) ( 4 ) \text {. } .$

The graph of a function f is given. Use the graph to answer the question. -What is the domain of f? Write it in interval notation.

Find the domain of the composite function f g. Write the domain in interval notation. - $f ( x ) = 2 x + 12 ; g ( x ) = \sqrt { x }$

The graph of a function f is given. Use the graph to answer the question. -Is f(80)positive or negative?

Evaluate the function at the indicated value. - $\text { Find } f ( 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 4 } { x - 3 } \text {. }$

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

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(41, -2), (5, -1), (5, 0), (6, 1), (14, 3)}

The graph of a function f is given. Use the graph to answer the question. -For what values of x is f(x)= 0?

Find the x-intercept(s)and the y-intercept of the function. - $h ( x ) = x ^ { 2 } - 3 x + 2$

Find the x-intercept(s)and the y-intercept of the function. - $g ( x ) = 4 x + 9$

Find the intersection of the given intervals. - $( 7 , \infty ) \cup [ 16 , \infty )$

Determine whether the equation defines y as a function of x. - $y ^ { 2 } + x = 8$

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x ; \quad$ Find $f + g$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { x } { x ^ { 2 } + 5 }$

Equations, Inequalities, and Applications

The Rectangular Coordinate System, Lines, and Circles

Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Matrices

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Math Exercises: Sets, Intervals, Absolute Value, and Properties

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Exam 3: Functions

Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. - f(x)=x+2f ( x ) = \sqrt { x + 2 }f(x)=x+2​

Graph the function. - f(x)=x3f(x)=x^{3}f(x)=x3

Use the graph to evaluate the expression. - Find (f∘f)(−1) and (g∘g)(4). \text { Find } ( f \circ f ) ( - 1 ) \text { and } ( g \circ g ) ( 4 ) \text {. } Find (f∘f)(−1) and (g∘g)(4). .

The graph of a function f is given. Use the graph to answer the question. -What is the domain of f? Write it in interval notation.

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - (x)=(−x)3(x)=(-x)^{3}(x)=(−x)3

Find the domain of the composite function f g. Write the domain in interval notation. - f(x)=2x+12;g(x)=xf ( x ) = 2 x + 12 ; g ( x ) = \sqrt { x }f(x)=2x+12;g(x)=x​

The graph of a function f is given. Use the graph to answer the question. -Is f(80)positive or negative?

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)=−1xf ( x ) = - \frac { 1 } { x }f(x)=−x1​

Evaluate the function at the indicated value. - Find f(1) when f(x)=x2−4x−3. \text { Find } f ( 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 4 } { x - 3 } \text {. } Find f(1) when f(x)=x−3x2−4​.

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

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(41, -2), (5, -1), (5, 0), (6, 1), (14, 3)}

The graph of a function f is given. Use the graph to answer the question. -For what values of x is f(x)= 0?

Find the x-intercept(s)and the y-intercept of the function. - h(x)=x2−3x+2h ( x ) = x ^ { 2 } - 3 x + 2h(x)=x2−3x+2

Find the x-intercept(s)and the y-intercept of the function. - g(x)=4x+9g ( x ) = 4 x + 9g(x)=4x+9

Find the intersection of the given intervals. - (7,∞)∪[16,∞)( 7 , \infty ) \cup [ 16 , \infty )(7,∞)∪[16,∞)

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)=17x2f ( x ) = \frac { 1 } { 7 } x ^ { 2 }f(x)=71​x2

Determine whether the equation defines y as a function of x. - y2+x=8y ^ { 2 } + x = 8y2+x=8

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+2f(x)=\sqrt{x-7}+2f(x)=x−7​+2

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - f(x)=16−x2;g(x)=4−x;f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x ; \quadf(x)=16−x2;g(x)=4−x; Find f+gf + gf+g

Determine algebraically whether the function is even, odd, or neither. - f(x)=xx2+5f ( x ) = \frac { x } { x ^ { 2 } + 5 }f(x)=x2+5x​

Equations, Inequalities, and Applications

The Rectangular Coordinate System, Lines, and Circles

Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Matrices

Sequences and Series; Counting and Probability

Math Exercises: Sets, Intervals, Absolute Value, and Properties

Filters

Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. - $f ( x ) = \sqrt { x + 2 }$ $Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. - f ( x ) = \sqrt { x + 2 }$

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

Use the graph to evaluate the expression. - $\text { Find } ( f \circ f ) ( - 1 ) \text { and } ( g \circ g ) ( 4 ) \text {. }$ . $Use the graph to evaluate the expression. - \text { Find } ( f \circ f ) ( - 1 ) \text { and } ( g \circ g ) ( 4 ) \text {. } .$

Find the domain of the composite function f g. Write the domain in interval notation. - $f ( x ) = 2 x + 12 ; g ( x ) = \sqrt { x }$

Evaluate the function at the indicated value. - $\text { Find } f ( 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 4 } { x - 3 } \text {. }$

Find the x-intercept(s)and the y-intercept of the function. - $h ( x ) = x ^ { 2 } - 3 x + 2$

Find the x-intercept(s)and the y-intercept of the function. - $g ( x ) = 4 x + 9$

Find the intersection of the given intervals. - $( 7 , \infty ) \cup [ 16 , \infty )$

Determine whether the equation defines y as a function of x. - $y ^ { 2 } + x = 8$

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x ; \quad$ Find $f + g$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { x } { x ^ { 2 } + 5 }$