Exam 3: Functions

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

(Multiple Choice)

5.0/5

(35)

Question 81

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = - 4 x ^ { 3 }$

(Multiple Choice)

4.9/5

(36)

Question 82

Use the graph to determine the function's domain and range. Write the domain and range in interval notation. -

(Multiple Choice)

4.9/5

(41)

Question 83

The function f is one-to-one. Find its inverse. - $f ( x ) = 3 x + 7$

(Multiple Choice)

4.8/5

(42)

Question 84

Determine whether the function is one-to-one. -f(x)= 3x + 6

(Multiple Choice)

4.9/5

(34)

Question 85

The function f is one-to-one. Find its inverse. - $f ( x ) = \frac { - 7 x - 9 } { - 2 x + 6 }$

(Multiple Choice)

4.7/5

(41)

Question 86

Determine whether the equation defines y as a function of x. - $y = 8 x ^ { 2 } - 8 x + 9$

(Multiple Choice)

4.9/5

(34)

Question 87

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

(Multiple Choice)

4.9/5

(45)

Question 88

Decide whether or not the functions are inverses of each other. - $f ( x ) = 5 x + 25 , g ( x ) = \frac { 1 } { 5 } x - 5$

(Multiple Choice)

4.9/5

(36)

Question 89

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

(Multiple Choice)

4.8/5

(41)

Question 90

The graph of a one-to-one function is given. Draw the graph of the inverse function f^-1. For convenience, the graph of y = x is also give. -

(Multiple Choice)

4.9/5

(34)

Question 91

The graph of a function f is given. Use the graph to answer the question. -What is the y-intercept?

(Multiple Choice)

4.8/5

(42)

Question 92

Using transformations, sketch the graph of the requested function. -The graph of a function f is illustrated. Use the graph of f as the first step toward graphing the function F(x), where F(x)= f(x + 2)- 1.

(Multiple Choice)

4.7/5

(37)

Question 93

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(0, 1)

(Multiple Choice)

4.9/5

(39)

Question 94

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(-2, 3), (-1, 0), (0, -1), (1, 0), (3, 8)}

(Multiple Choice)

4.7/5

(38)

Question 95

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = 3 - 2 x ; g ( x ) = - 8 x + 2 ; \quad$ Find $f + g$ .

(Multiple Choice)

4.9/5

(37)

Question 96

For the given functions f and g, find the requested composite function. - $f ( x ) = 4 x ^ { 2 } + 2 x + 4 , g ( x ) = 2 x - 5 ; \quad$ Find the function $g$ of.

(Multiple Choice)

4.8/5

(39)

Question 97

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

(Multiple Choice)

4.7/5

(36)

Question 98

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = ( x + 5 ) ^ { 2 }$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = ( x + 5 ) ^ { 2 }$

(Multiple Choice)

4.8/5

(30)

Question 99

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f(x)=2(x+1)^{2}-4$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=2(x+1)^{2}-4$

(Multiple Choice)

4.9/5

(33)

Question 100

Showing 81 - 100 of 247

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = - 4 x ^ { 3 }$

Use the graph to determine the function's domain and range. Write the domain and range in interval notation. -

The function f is one-to-one. Find its inverse. - $f ( x ) = 3 x + 7$

Determine whether the function is one-to-one. -f(x)= 3x + 6

The function f is one-to-one. Find its inverse. - $f ( x ) = \frac { - 7 x - 9 } { - 2 x + 6 }$

Determine whether the equation defines y as a function of x. - $y = 8 x ^ { 2 } - 8 x + 9$

Decide whether or not the functions are inverses of each other. - $f ( x ) = 5 x + 25 , g ( x ) = \frac { 1 } { 5 } x - 5$

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

The graph of a one-to-one function is given. Draw the graph of the inverse function f^-1. For convenience, the graph of y = x is also give. -

The graph of a function f is given. Use the graph to answer the question. -What is the y-intercept?

Using transformations, sketch the graph of the requested function. -The graph of a function f is illustrated. Use the graph of f as the first step toward graphing the function F(x), where F(x)= f(x + 2)- 1.

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(0, 1)

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(-2, 3), (-1, 0), (0, -1), (1, 0), (3, 8)}

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = 3 - 2 x ; g ( x ) = - 8 x + 2 ; \quad$ Find $f + g$ .

For the given functions f and g, find the requested composite function. - $f ( x ) = 4 x ^ { 2 } + 2 x + 4 , g ( x ) = 2 x - 5 ; \quad$ Find the function $g$ of.

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

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

Exam 3: Functions

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)=12x3f(x)=\frac{1}{2} x^{3}f(x)=21​x3

Determine algebraically whether the function is even, odd, or neither. - f(x)=−4x3f ( x ) = - 4 x ^ { 3 }f(x)=−4x3

Use the graph to determine the function's domain and range. Write the domain and range in interval notation. -

The function f is one-to-one. Find its inverse. - f(x)=3x+7f ( x ) = 3 x + 7f(x)=3x+7

Determine whether the function is one-to-one. -f(x)= 3x + 6

The function f is one-to-one. Find its inverse. - f(x)=−7x−9−2x+6f ( x ) = \frac { - 7 x - 9 } { - 2 x + 6 }f(x)=−2x+6−7x−9​

Determine whether the equation defines y as a function of x. - y=8x2−8x+9y = 8 x ^ { 2 } - 8 x + 9y=8x2−8x+9

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)=−x2f(x)=-x^{2}f(x)=−x2

Decide whether or not the functions are inverses of each other. - f(x)=5x+25,g(x)=15x−5f ( x ) = 5 x + 25 , g ( x ) = \frac { 1 } { 5 } x - 5f(x)=5x+25,g(x)=51​x−5

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

The graph of a one-to-one function is given. Draw the graph of the inverse function f-1. For convenience, the graph of y = x is also give. -

The graph of a function f is given. Use the graph to answer the question. -What is the y-intercept?

Using transformations, sketch the graph of the requested function. -The graph of a function f is illustrated. Use the graph of f as the first step toward graphing the function F(x), where F(x)= f(x + 2)- 1.

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(0, 1)

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(-2, 3), (-1, 0), (0, -1), (1, 0), (3, 8)}

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - f(x)=3−2x;g(x)=−8x+2;f ( x ) = 3 - 2 x ; g ( x ) = - 8 x + 2 ; \quadf(x)=3−2x;g(x)=−8x+2; Find f+gf + gf+g .

For the given functions f and g, find the requested composite function. - f(x)=4x2+2x+4,g(x)=2x−5;f ( x ) = 4 x ^ { 2 } + 2 x + 4 , g ( x ) = 2 x - 5 ; \quadf(x)=4x2+2x+4,g(x)=2x−5; Find the function ggg of.

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(1, 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)=(x+5)2f ( x ) = ( x + 5 ) ^ { 2 }f(x)=(x+5)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)=2(x+1)2−4 f(x)=2(x+1)^{2}-4 f(x)=2(x+1)2−4

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

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = - 4 x ^ { 3 }$

The function f is one-to-one. Find its inverse. - $f ( x ) = 3 x + 7$

The function f is one-to-one. Find its inverse. - $f ( x ) = \frac { - 7 x - 9 } { - 2 x + 6 }$

Determine whether the equation defines y as a function of x. - $y = 8 x ^ { 2 } - 8 x + 9$

Decide whether or not the functions are inverses of each other. - $f ( x ) = 5 x + 25 , g ( x ) = \frac { 1 } { 5 } x - 5$

The graph of a one-to-one function is given. Draw the graph of the inverse function f^-1. For convenience, the graph of y = x is also give. -

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = 3 - 2 x ; g ( x ) = - 8 x + 2 ; \quad$ Find $f + g$ .

For the given functions f and g, find the requested composite function. - $f ( x ) = 4 x ^ { 2 } + 2 x + 4 , g ( x ) = 2 x - 5 ; \quad$ Find the function $g$ of.