Download linear vs nonlinear function.notebook

linear vs nonlinear function.notebook
March 24, 2017
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• Copy down HW for tonight
• Take out HW from last night
• Warm Up: What is another word to describe rate of change?
Linear v. Non­linear
Linear Functions have a constant slope (rate of change).
All linear functions can be written in the form
y = mx + b
Ex. Circle the functions that are linear.
3x + 2y = 8 y = x3 + 2x ­ 1
2x2 + y = 4
1
y + 7 = x
2
y = 5x ­ 2
linear vs nonlinear function.notebook
March 24, 2017
Graph the equation.
2
y = x ­ 1
X
Y
­2
­1
Is this equation linear?
0
1
Explain.
2
This is a function. It is not linear. What is the rule?
Input
Output
3
10
5
26
7
50
10
101
linear vs nonlinear function.notebook
Is the function linear?
y = x2 + 4
March 24, 2017
Is the function linear?
y = x3 ­ 6
Derek has 3 more baseball cards than his brother Carl.
Complete the following table:
Carl's # of Derek's # cards
of cards
14
21
22
25
45
Can you come up with a "function rule" for this situation?
linear vs nonlinear function.notebook
March 24, 2017
Notebooks cost $0.80 each. Can you complete the following table?
Cost
# of Notebooks
2
3
$4.80
$8.80
Can you come up with a function rule?
3) Can you determine the function rule in this
gallons
graph?
3
2
1
1
2
3
4
minutes
Now, create a story to match the graph:
linear vs nonlinear function.notebook
March 24, 2017
Austin makes $12 an hour. If "x" is the number of hours he works and "y" is the amount of money he earns, create a function rule.
Now, create a table:
Complete the following table and then determine the function rule.
hours
items
2
80
3
120
5
6
480
linear vs nonlinear function.notebook
March 24, 2017
Review for Test:
Using this set, make a table:
(2, 1), (0, 6), (8, 5)
x y
Using this set, make a map:
(2, 1), (0, 6), (8, 5)
X
Y
linear vs nonlinear function.notebook
March 24, 2017
Using this set, make a graph:
(2, 1), (0, 6), (8, 5)
Using this set, write the domain and range:
(2, 1), (0, 6), (8, 5)
Domain:
Range:
linear vs nonlinear function.notebook
March 24, 2017
Function or Not?
a)
c)
b)
d)
Function or Not?
c)
d)