Q. 22 In Problems 21鈥�28, determine w... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 3: Q. 22 (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 .
x $y = f (x)$
-2 $\frac{1}{4}$
-1 $\frac{1}{2}$
0 1
1 2
2 4

Short Answer

Expert verified

The function is non linear.

Step by step solution

Step 1. Given Information

x	$y = f (x)$
-2	$\frac{1}{4}$
-1	$\frac{1}{2}$
0	1
1	2
2	4

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.

Step 2. Calculation

Calculate average rate of change by the formula $\frac{鈭� y}{鈭� x} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

x	y	$\frac{鈭� y}{鈭� x}$
-2	$\frac{1}{4}$	0.25
-1	$\frac{1}{2}$	0.5
0	1	1
1	2	2
2	4

Step 3. Conclusion

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

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91影视

In Problems 21鈥�28, determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line .
x $y = f (x)$
-2 $\frac{1}{4}$
-1 $\frac{1}{2}$
0 1
1 2
2 4

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Conclusion

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x	$y = f (x)$
-2	-26
-1	-4
0	2
1	-2
2	-10

91影视

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=fx-214-112011224

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Decision Maths

Calculus

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

In Problems 21鈥�28, determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line .
x $y = f (x)$
-2 $\frac{1}{4}$
-1 $\frac{1}{2}$
0 1
1 2
2 4