What is a function?
In a function, how many outputs does an input have?
One
Is this function linear or nonlinear? Why?
X y
1 2
2 3
3 4
Linear because it has a constant rate of change.
What is the constant rate of change in this equation?
y = 5x
5
Solve for X
X + 2 = 10
X = 8
What is this called in mathematics?
X
A Variable
What variable represents the input?
X
Is this function linear or nonlinear? Why?
X Y
0 2
2 10
4 11
No, because it does not have a constant rate of change.
What is the slope in this equation?
y = 3x + 8
3
Solve for P
P - 12 = 22
What are these called?
( 2,3) ( 4,5) ( 7,8)
Ordered pairs or coordinates
What variable represents the output?
y
Is this function linear or nonlinear? Why?
y = 2x
Linear because it has a constant rate of change of 2.
What is the constant rate of change in this equation?
y= x + 8
1
Solve for C
2C + 2C = 8
C = 2
What college does Mrs. Forgues son go to?
Hobart and Umass Lowell
Is this a function? Why or why not?
( 0,1) ( 1,2) ( 2,3) ( 4,5)
Yes, because every input has one output.
Is this function linear or nonlinear?
y = 2x3
Nonlinear because it does not have constant rate of change.
What is the slope in this equation?
y = x
1
Solve for Q
2Q - 8 = 10
Q = 9
When did Mrs. Forgues graduate from high school?
1994
Is this a function? Why or why not?
(1,2) ( 3,4) ( 1,5) ( 8,9)
No, because 1 has 2 outputs.
What is the constant rate of change in this function?
y = 8x
8
What is the initial value in this equation?
y = 2x + 10
10
Solve for S
3S - 5 = -14
S = -3
What is our current learning target?
I can compare linear and nonlinear functions.