Page 136 - TB_6B
P. 136
Challenge Nonlinear Functions
If the graph of a function is a straight line, it is a linear function.
If not, it is a nonlinear function.
Find out whether the graph of a function y = x2 is linear or nonlinear.
Find the values of y. Write the ordered pairs of a function y = x2. y
9
x 3 2 10 1 2 3 6
y 101 3
(x, y)
( 1, 1) (0, 0) (1, 1) 0
The graph of the function looks like the one on the 3 x
right. 3
With more ordered pairs for the function y = x2, the graph shows a curved
line like the one on the right.
yy
99
66
33
x 30 x
303 3
The graph of the function y = x is not a straight line.
Therefore, it is a nonlinear function.
1 . Graph the function and determine whether y
the graph is linear or nonlinear. 6
5
a. y = x 1 b. y = x2 1 4
3
x 2 10 1 2 x 2 10 1 2 2 x
y1 y5 1
3 2 10 1 2 3
29. Graph Functions 125
If the graph of a function is a straight line, it is a linear function.
If not, it is a nonlinear function.
Find out whether the graph of a function y = x2 is linear or nonlinear.
Find the values of y. Write the ordered pairs of a function y = x2. y
9
x 3 2 10 1 2 3 6
y 101 3
(x, y)
( 1, 1) (0, 0) (1, 1) 0
The graph of the function looks like the one on the 3 x
right. 3
With more ordered pairs for the function y = x2, the graph shows a curved
line like the one on the right.
yy
99
66
33
x 30 x
303 3
The graph of the function y = x is not a straight line.
Therefore, it is a nonlinear function.
1 . Graph the function and determine whether y
the graph is linear or nonlinear. 6
5
a. y = x 1 b. y = x2 1 4
3
x 2 10 1 2 x 2 10 1 2 2 x
y1 y5 1
3 2 10 1 2 3
29. Graph Functions 125
