The function f is one-to-one. State the domain and the range of f and fS1U1P1-1S1S1P0. Write the domain and range in set-builder notation. -\[f ( x ) = \sqrt { 3 - 4 x }\]

A) $\begin{array}{l} f(x): D=\left\{x \mid x \leq \frac{3}{4}\right\}, R=\{y \mid y \geq 0\} \\ f^{-1}(x): D=\{x \mid x \geq 0\}, R=\left\{y \mid y \leq \frac{3}{4}\right\} \end{array}$ B) $ f(x): D=\left\{x \mid x \leq \frac{3}{4}\right\}, R $ is all real numbers; $ \mathrm{f}^{-1}(\mathrm{x}): \mathrm{D} $ is all real numbers, $ R=\left\{y \mid y \leq \frac{3}{4}\right\} $ C) $\begin{array}{c} f(x): D=\{x \mid x \geq 0\}, R=\{y \mid y \geq 0\} \\ f^{-1}(x): D=\left\{x|x \geq 0\rangle, R=\left\{y \mid y \geq \frac{3}{4}\right\}\right. \end{array}$ D) \[ f(x): D=\left\{x \mid x \leq \frac{3}{4}\right\}, R=\{y \mid y \leq 0\} \] $ f^{-1}(x): D $ is all real numbers, $ R=\left\{y \mid y \leq \frac{3}{4}\right\} $ A) $\begin{array}{l} f(x): D=\left\{x \mid x \leq \frac{3}{4}\right\}, R=\{y \mid y \geq 0\} \\ f^{-1}(x): D=\{x \mid x \geq 0\}, R=\left\{y \mid y \leq \frac{3}{4}\right\} \end{array}$ B) $ f(x): D=\left\{x \mid x \leq \frac{3}{4}\right\}, R $ is all real numbers; $ \mathrm{f}^{-1}(\mathrm{x}): \mathrm{D} $ is all real numbers, $ R=\left\{y \mid y \leq \frac{3}{4}\right\} $ C) $\begin{array}{c} f(x): D=\{x \mid x \geq 0\}, R=\{y \mid y \geq 0\} \\ f^{-1}(x): D=\left\{x|x \geq 0\rangle, R=\left\{y \mid y \geq \frac{3}{4}\right\}\right. \end{array}$ D) \[ f(x): D=\left\{x \mid x \leq \frac{3}{4}\right\}, R=\{y \mid y \leq 0\} \] $ f^{-1}(x): D $ is all real numbers, $ R=\left\{y \mid y \leq \frac{3}{4}\right\} $

Exam 3: Functions

Based on the graph, determine the range of f. - $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 4 } x & \text { if } x \neq 0 \\6 & \text { if } x = 0\end{array} \right.$ $Based on the graph, determine the range of f. - f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 4 } x & \text { if } x \neq 0 \\ 6 & \text { if } x = 0 \end{array} \right.$

(Multiple Choice)

4.9/5

(38)

Question 141

Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. -2y - 6 = 5x

(Multiple Choice)

5.0/5

(29)

Question 142

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

(Multiple Choice)

4.9/5

(43)

Question 143

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. - $f ( x ) = \sqrt { 21 - x }$

(Multiple Choice)

4.7/5

(46)

Question 144

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. - $\left( 1,\infty \right)$ $The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. - \left( 1,\infty \right)$

(Multiple Choice)

4.8/5

(46)

Question 145

For the given functions f and g, find the requested composite function. - $f ( x ) = \frac { x - 5 } { 8 } , g ( x ) = 8 x + 5 ; \quad$ Find the function $g$ of.

(Multiple Choice)

5.0/5

(36)

Question 146

Determine algebraically whether the function is even, odd, or neither. - $\sqrt [ 3 ] { 9 x ^ { 2 } + 8 }$

(Multiple Choice)

5.0/5

(41)

Question 147

For the given functions f and g, find the requested composite function value. - $f ( x ) = 2 x + 9 , g ( x ) = \frac { 1 } { x } ; \quad$ Find $( g \circ f ) ( 3 )$

(Multiple Choice)

4.9/5

(35)

Question 148

Evaluate. -Find (f + g)(-1)when f(x)= x + 5 and g(x)= x + 2.

(Multiple Choice)

4.8/5

(35)

Question 149

Use the graph to evaluate the expression. -Find (f ° g)(5)and (g ° f)(2).

(Multiple Choice)

4.7/5

(35)

Question 150

The function f is one-to-one. State the domain and the range of f and f^-1. Write the domain and range in set-builder notation. - $f ( x ) = \sqrt { 3 - 4 x }$

(Multiple Choice)

4.9/5

(35)

Question 151

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. - $f ( x ) = \frac { 1 } { x ^ { 2 } + 6 x - 16 }$

(Multiple Choice)

4.7/5

(40)

Question 152

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

(Multiple Choice)

4.8/5

(38)

Question 153

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = 2 intersect the graph?

(Multiple Choice)

5.0/5

(36)

Question 154

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = x - 8 ; g ( x ) = 7 x ^ { 2 } ; \quad$ Find $f - g$ .

(Multiple Choice)

4.8/5

(38)

Question 155

The function f is one-to-one. Find its inverse. - $f ( x ) = x ^ { 2 } - 1 , x \geq 0$

(Multiple Choice)

4.9/5

(35)

Question 156

Determine whether the function is one-to-one. - $f ( x ) = | x - 3 |$

(Multiple Choice)

4.8/5

(41)

Question 157

Determine whether the equation defines y as a function of x. -x + 8y = 4

(Multiple Choice)

4.8/5

(41)

Question 158

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

(Multiple Choice)

4.7/5

(46)

Question 159

For the given functions f and g, find the requested composite function value. - $f ( x ) = \sqrt { x + 3 } , g ( x ) = 3 x ; \quad$ Find $( f \circ g ) ( 2 )$

(Multiple Choice)

4.8/5

(34)

Question 160

Showing 141 - 160 of 247

Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. -2y - 6 = 5x

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

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. - $f ( x ) = \sqrt { 21 - x }$

For the given functions f and g, find the requested composite function. - $f ( x ) = \frac { x - 5 } { 8 } , g ( x ) = 8 x + 5 ; \quad$ Find the function $g$ of.

Determine algebraically whether the function is even, odd, or neither. - $\sqrt [ 3 ] { 9 x ^ { 2 } + 8 }$

For the given functions f and g, find the requested composite function value. - $f ( x ) = 2 x + 9 , g ( x ) = \frac { 1 } { x } ; \quad$ Find $( g \circ f ) ( 3 )$

Evaluate. -Find (f + g)(-1)when f(x)= x + 5 and g(x)= x + 2.

Use the graph to evaluate the expression. -Find (f ° g)(5)and (g ° f)(2).

The function f is one-to-one. State the domain and the range of f and f^-1. Write the domain and range in set-builder notation. - $f ( x ) = \sqrt { 3 - 4 x }$

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. - $f ( x ) = \frac { 1 } { x ^ { 2 } + 6 x - 16 }$

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = 2 intersect the graph?

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = x - 8 ; g ( x ) = 7 x ^ { 2 } ; \quad$ Find $f - g$ .

The function f is one-to-one. Find its inverse. - $f ( x ) = x ^ { 2 } - 1 , x \geq 0$

Determine whether the function is one-to-one. - $f ( x ) = | x - 3 |$

Determine whether the equation defines y as a function of x. -x + 8y = 4

For the given functions f and g, find the requested composite function value. - $f ( x ) = \sqrt { x + 3 } , g ( x ) = 3 x ; \quad$ Find $( f \circ g ) ( 2 )$

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

Based on the graph, determine the range of f. - f(x)={14x if x≠06 if x=0f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 4 } x & \text { if } x \neq 0 \\6 & \text { if } x = 0\end{array} \right.f(x)={41​x6​ if x=0 if x=0​

Graph the function as a solid line or curve and its inverse as a dashed line or curve on the same axes. -2y - 6 = 5x

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

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. - f(x)=21−xf ( x ) = \sqrt { 21 - x }f(x)=21−x​

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. - (1,∞)\left( 1,\infty \right)(1,∞)

For the given functions f and g, find the requested composite function. - f(x)=x−58,g(x)=8x+5;f ( x ) = \frac { x - 5 } { 8 } , g ( x ) = 8 x + 5 ; \quadf(x)=8x−5​,g(x)=8x+5; Find the function ggg of.

Determine algebraically whether the function is even, odd, or neither. - 9x2+83\sqrt [ 3 ] { 9 x ^ { 2 } + 8 }39x2+8​

For the given functions f and g, find the requested composite function value. - f(x)=2x+9,g(x)=1x;f ( x ) = 2 x + 9 , g ( x ) = \frac { 1 } { x } ; \quadf(x)=2x+9,g(x)=x1​; Find (g∘f)(3)( g \circ f ) ( 3 )(g∘f)(3)

Evaluate. -Find (f + g)(-1)when f(x)= x + 5 and g(x)= x + 2.

Use the graph to evaluate the expression. -Find (f ° g)(5)and (g ° f)(2).

The function f is one-to-one. State the domain and the range of f and f-1. Write the domain and range in set-builder notation. - f(x)=3−4xf ( x ) = \sqrt { 3 - 4 x }f(x)=3−4x​

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. - f(x)=1x2+6x−16f ( x ) = \frac { 1 } { x ^ { 2 } + 6 x - 16 }f(x)=x2+6x−161​

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)=x3−2f ( x ) = x ^ { 3 } - 2f(x)=x3−2

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = 2 intersect the graph?

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - f(x)=x−8;g(x)=7x2;f ( x ) = x - 8 ; g ( x ) = 7 x ^ { 2 } ; \quadf(x)=x−8;g(x)=7x2; Find f−gf - gf−g .

The function f is one-to-one. Find its inverse. - f(x)=x2−1,x≥0f ( x ) = x ^ { 2 } - 1 , x \geq 0f(x)=x2−1,x≥0

Determine whether the function is one-to-one. - f(x)=∣x−3∣f ( x ) = | x - 3 |f(x)=∣x−3∣

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

For the given functions f and g, find the requested composite function value. - f(x)=x+3,g(x)=3x;f ( x ) = \sqrt { x + 3 } , g ( x ) = 3 x ; \quadf(x)=x+3​,g(x)=3x; Find (f∘g)(2)( f \circ g ) ( 2 )(f∘g)(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

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

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. - $f ( x ) = \sqrt { 21 - x }$

For the given functions f and g, find the requested composite function. - $f ( x ) = \frac { x - 5 } { 8 } , g ( x ) = 8 x + 5 ; \quad$ Find the function $g$ of.

Determine algebraically whether the function is even, odd, or neither. - $\sqrt [ 3 ] { 9 x ^ { 2 } + 8 }$

For the given functions f and g, find the requested composite function value. - $f ( x ) = 2 x + 9 , g ( x ) = \frac { 1 } { x } ; \quad$ Find $( g \circ f ) ( 3 )$

The function f is one-to-one. State the domain and the range of f and f^-1. Write the domain and range in set-builder notation. - $f ( x ) = \sqrt { 3 - 4 x }$

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. - $f ( x ) = \frac { 1 } { x ^ { 2 } + 6 x - 16 }$

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation. - $f ( x ) = x - 8 ; g ( x ) = 7 x ^ { 2 } ; \quad$ Find $f - g$ .

The function f is one-to-one. Find its inverse. - $f ( x ) = x ^ { 2 } - 1 , x \geq 0$

Determine whether the function is one-to-one. - $f ( x ) = | x - 3 |$

For the given functions f and g, find the requested composite function value. - $f ( x ) = \sqrt { x + 3 } , g ( x ) = 3 x ; \quad$ Find $( f \circ g ) ( 2 )$