6th Grade Math Textbook, Fundamentals

Lesson 13-8 for exercise sets. &KDSWHU 

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Does the data table or function represent a linear function or a nonlinear function? Explain.

3.yx^2 4.y|x1| 5.y 2 x^2 6.yx 3

7.Discuss and WriteWithout using the slope or graphing ordered pairs,

explain how you can determine whether or not a function is nonlinear.

Give examples to support your answer.

x  2  10123

y  11  8  7  8  11  16

x  3  2  1012

y 15129630

An , when graphed

on a coordinate plane, takes a V-shaped form.

The graph at the right shows the absolute-

value function y|x|.

absolute-value function

You can use graphing calculators to examine the graph
of a quadratic function. Graph the function yx^2 4.
Using the graph, find the value of ywhen x10.

Press to enter the function.

Press 4.

Select , and choose the range of thex- and y-values shown below.

Select to see the graph of the quadratic function.

Select. Then select 1: value.

Press 10 to calculate the value of ywhen x10.

0

y

x

^1423

1

 2

 3

 4

1

2

3

4

 4  3  2  1

When x10 in the equation y x^2 4, y 104.