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Chapter 3: Q. 5 (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 equation of line is nonlinear.

Step by step solution

01

Step 1. Given information.

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

02

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

The linear function is given by

g(x)=mx+b;m≠0

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

m=gx2-gx1x2-x1

The linear function have a constant average rate of change.

03

Step 3. find linear function.

Look at the given table and notice that

y5-y4≠y4-y3⇔1-(-6)≠6-7⇔7≠-1

When you changes x value for 1. So, average rate of change is not constant.

So this is non linear.

04

Step. Conclusion.  

The equation of line is nonlinear.

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Most popular questions from this chapter

Find the real solutions of the equation 2x2+7x-4=0.

On one set of coordinate axes, graph the family of parabolas f(x)=x2+bx+1for b = -4, b = 0, and b = 4. Describe the general characteristics of this family.

If g(x)=5x-4,then

(a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant

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

xy=f(x)
-20
-11
04
19
216

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

xy=f(x)
-2-4
-10
04
18
212
See all solutions

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