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Chapter 3: Q. 11 (page 136)

True or False If the average rate of change of a linear function is 23, then if yincreases by 3,xwill increase by2.

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

Given information

If the average rate of change of a linear function is23 , then if yincreases by3 , xwill increase by2 .

02

Solution

Linear functions have a constant average rate of change. That is, the average rate of change of a linear function y=mx+bis

鈭�y鈭�x=m.

Here, 鈭�x=2and 鈭�y=3,then m=鈭�y鈭�x=32.

03

Final answer

Hence, the given statement is false.

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Most popular questions from this chapter

Suppose that f(x)=4x-1and g(x)=-2x+5

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(c) Solve f(x)=g(x) (d) Solve f(x)鈮�g(x)

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Determine the quadratic function whose graph is given.

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