Find the domain of the function. -f(x) = x2 + 5

A) {x|x > -5} B) {x|x ≥ -5} C) {x|x ≠-5} D) all real numbers A) {x|x > -5} B) {x|x ≥ -5} C) {x|x ≠-5} D) all real numbers

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) =(-x)²

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Question 241

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

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Question 242

Find the domain of the function. -f(x) = x² + 5

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Question 243

Solve the problem. -The price p and the quantity x sold of a certain product obey the demand equation: $p = - \frac { 1 } { 5 } x + 500 , \{ x \mid 0 \leq x \leq 500 \}$ What is the revenue to the nearest dollar when 400 units are sold?

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Question 244

The graph of a function f is given. Use the graph to answer the question. -Find the numbers, if any, at which f has a local minimum. What are the local minima?

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Question 245

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

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Question 246

Determine whether the equation defines y as a function of x. - $- 7 x + x ^ { 2 } + 35 = y$

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Question 247

Match the function with the graph that best describes the situation. -The height of an animal as a func

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Question 248

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. - $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 ; ( - 5,5 )$

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Question 249

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = 7 x ^ { 3 }$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = 7 x ^ { 3 }$

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Question 250

Solve the problem. -Bob wants to fence in a rectangular garden in his yard. He has 82 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

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Question 251

Find the value for the function. -Find -f(x) when f(x) = |x| + 1.

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Question 252

Find the average rate of change for the function between the given values. - $f ( x ) = \sqrt { 2 x } ; \text { from } 2 \text { to } 8$

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Question 253

Graph the function. - $f ( x ) = x ^ { 2 }$ $Graph the function. - f ( x ) = x ^ { 2 }$

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Question 254

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

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Question 255

Match the correct function to the graph. -

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Question 256

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = x ^ { 3 } - 4$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = x ^ { 3 } - 4$

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Question 257

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f(x)=\sqrt{x+4+3}$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=\sqrt{x+4+3}$

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Question 258

Find the average rate of change for the function between the given values. - $f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }$

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Question 259

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

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Question 260

Showing 241 - 260 of 276

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

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

Find the domain of the function. -f(x) = x² + 5

Solve the problem. -The price p and the quantity x sold of a certain product obey the demand equation: $p = - \frac { 1 } { 5 } x + 500 , \{ x \mid 0 \leq x \leq 500 \}$ What is the revenue to the nearest dollar when 400 units are sold?

The graph of a function f is given. Use the graph to answer the question. -Find the numbers, if any, at which f has a local minimum. What are the local minima?

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

Determine whether the equation defines y as a function of x. - $- 7 x + x ^ { 2 } + 35 = y$

Match the function with the graph that best describes the situation. -The height of an animal as a func

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. - $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 ; ( - 5,5 )$

Solve the problem. -Bob wants to fence in a rectangular garden in his yard. He has 82 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

Find the value for the function. -Find -f(x) when f(x) = |x| + 1.

Find the average rate of change for the function between the given values. - $f ( x ) = \sqrt { 2 x } ; \text { from } 2 \text { to } 8$

Graph the function. - $f ( x ) = x ^ { 2 }$ $Graph the function. - f ( x ) = x ^ { 2 }$

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

Match the correct function to the graph. -

Find the average rate of change for the function between the given values. - $f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }$

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

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

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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) =(-x)2

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

Find the domain of the function. -f(x) = x2 + 5

Solve the problem. -The price p and the quantity x sold of a certain product obey the demand equation: p=−15x+500,{x∣0≤x≤500}p = - \frac { 1 } { 5 } x + 500 , \{ x \mid 0 \leq x \leq 500 \}p=−51​x+500,{x∣0≤x≤500} What is the revenue to the nearest dollar when 400 units are sold?

The graph of a function f is given. Use the graph to answer the question. -Find the numbers, if any, at which f has a local minimum. What are the local minima?

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

Determine whether the equation defines y as a function of x. - −7x+x2+35=y- 7 x + x ^ { 2 } + 35 = y−7x+x2+35=y

Match the function with the graph that best describes the situation. -The height of an animal as a func

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)=x3−3x2+1;(−5,5)f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 ; ( - 5,5 )f(x)=x3−3x2+1;(−5,5)

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)=7x3f ( x ) = 7 x ^ { 3 }f(x)=7x3

Solve the problem. -Bob wants to fence in a rectangular garden in his yard. He has 82 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

Find the value for the function. -Find -f(x) when f(x) = |x| + 1.

Find the average rate of change for the function between the given values. - f(x)=2x; from 2 to 8f ( x ) = \sqrt { 2 x } ; \text { from } 2 \text { to } 8f(x)=2x​; from 2 to 8

Graph the function. - f(x)=x2f ( x ) = x ^ { 2 }f(x)=x2

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

Match the correct function to the graph. -

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)=x3−4f ( x ) = x ^ { 3 } - 4f(x)=x3−4

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+4+3f(x)=\sqrt{x+4+3}f(x)=x+4+3​

Find the average rate of change for the function between the given values. - f(x)=4x2; from 0 to 74f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }f(x)=4x2; from 0 to 47​

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

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

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

Find the domain of the function. -f(x) = x² + 5

Solve the problem. -The price p and the quantity x sold of a certain product obey the demand equation: $p = - \frac { 1 } { 5 } x + 500 , \{ x \mid 0 \leq x \leq 500 \}$ What is the revenue to the nearest dollar when 400 units are sold?

Determine whether the equation defines y as a function of x. - $- 7 x + x ^ { 2 } + 35 = y$

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. - $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 ; ( - 5,5 )$

Find the average rate of change for the function between the given values. - $f ( x ) = \sqrt { 2 x } ; \text { from } 2 \text { to } 8$

Graph the function. - $f ( x ) = x ^ { 2 }$ $Graph the function. - f ( x ) = x ^ { 2 }$

Find the average rate of change for the function between the given values. - $f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }$