Q. 4 In Problems 4 and 5, 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. 4 (page 173)

In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is linear, find the equation of the line.

Short Answer

Expert verified

The function is linear and the equation of the line is $y = 5 x + 3$ .

Step by step solution

Step 1. Given information.

Determine whether the function is linear or nonlinear. If the function is linear, find the equation of the line.

Step 2. Equation of line and slope of the graph.

The linear function is given by

$g (x) = m x + b; m 鈮� 0$

The slope of the graph is mand the y-intercept is b.The average rate of change is equal to the slope.

localid="1646321689835" $m = \frac{g (x_{2}) - g (x_{1})}{x_{2} - x_{1}}$

The linear function have a constant average rate of change.

Step 3. find linear function.

Look at the given table and notice that

$y_{5} - y_{4} = y_{4} - y_{3} = y_{3} - y_{2} = y_{2} - y_{1} = 5$ .

When you changes x value for 1. So, average rate of change is constant. Then the slope is $m = 5$ .

Also the y-intercept is $b = 3$ because that is the value of the function for $x = 0$ .

Then the equation of function is:

$f (x) = 5 x + 3$

Step 4. Conclusion.

The function is linear and the equation of line is $f (x) = 5 x + 3$ .

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x	$y = f (x)$
-2	-4
-1	-3.5
0	-3
1	-2.5
2	-2

91影视

In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is linear, find the equation of the line.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Equation of line and slope of the graph.

Step 3. find linear function.

Step 4. Conclusion.

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