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Chapter 3: Q. 23 (page 136)

In Problems 21鈥�28, determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line.

xy=f(x)
-2-8
-1-3
00
11
20

Short Answer

Expert verified

The function is non linear.

Step by step solution

01

Step 1. Given Information 

xy=f(x)
-2-8
-1-3
00
11
20

The data in the table represent values ofy with respect tox.

Compute the average rate of change of each function.

  • If the average rate of change is constant, then the function is linear.
  • If the average rate of change is not constant, then the function is nonlinear.
02

Step 2. Calculation 

Calculate average rate of change by the formula 鈭�y鈭�x=y2-y1x2-x1

xy鈭�y鈭�x
-2-85
-1-33
001
11-1
20
03

Step 3. Conclusion 

The average rate of change is not constant, so the function is not linear.

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