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Chapter 4: Q19. (page 275)

Graph each function.

fx=2x鈭�1ifx<2x鈭�3ifx鈮�2

Short Answer

Expert verified

The required graph is represented by

Step by step solution

01

Step 1. Determine the points where the graph of the provided function is starting.

Substitute 0 in place of xinto the provided function to get the required point for the first condition.

f0=2鈰�0鈭�1=鈭�1

So the point is represented by 0,鈭�1.

Substitute 3 in place of xinto the provided function to get the required point for the second condition.

f3=3鈭�3=0

So the point is represented by 3,0.

02

Step 2. Take the help of the obtained point. 

Take the help of obtained points and sketch the graphical representation of the provided function and the graph will consist of two figures as there are two different conditions.

03

Step 3. Write the conclusion. 

The obtained graph is completely defining the provided function so it is the required graph.

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Most popular questions from this chapter

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation.

Slope: 2, y-intercept: 4

A shipping company charges \(8.50 to ship packages that weigh up to 1 pound and role="math" localid="1647336641330" \)7.25for each additional pound. Which of the following piecewise-defined functions represents the cost C of shipping a package that weighs p pounds?

A Cp=8.50ifp鈮�18.50+7.25pifp>1

B Cp=7.25ifp鈮�17.25+8.50pifp>1

CCp=8.50ifp鈮�18.50p+7.25p鈭�1ifp>1

DCp=8.50ifp鈮�18.50+7.25p鈭�1ifp>1

What is the equation of the line graphed below?

Express your answer in point-slope form using the point 鈭�8,3.

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

If the graph of a line has a positive slope and a negativey-intercept, what happens to thex鈥搃ntercept if the slope and they鈥搃ntercept are doubled?

F Thex鈥搃ntercept becomes four times as great.

G Thex鈥搃ntercept becomes twice as great.

H Thex鈥搃ntercept becomes one-fourth as great.

J Thex鈥搃ntercept remains the same.

Write an equation in point-slope form for the line that passes through the given point with the slope provided.

鈭�4,2, slope 0
See all solutions

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