Defining Functions
Am I a function?
Graph What?
Fill in the blank
What's my function?
100
A rule that maps a number to another unique number
A fuunction
100
In a function, how many outputs can one input have?
Each input has one and only one output.
100
What kind of function is this?
linear
100
A table of values for a linear function is given. Fill in the missing value.
x -1 0 1
y 3 8 ?
y = 13
100
Evaluate y = 2x +1 when x = -3
y = -5
200
A function whole graph is a line
Linear function
200
Yes
200
What function is represented here?
Quadratic function
200
A table of values for a linear function is given. Fill in the missing value.
x -1 0 1
y 3 -2 ?
y = -7
200
Evaluate y= x2 + x + 1 when x = -5
y = 21
300
A function of degree two in the shape of a U
Quadratic function
300
Is this a function and why?
No because x=8 has two outputs (3 and -3)
300
Based on the graph of the function, what is y when x = 4?
y = -2
300
A table of values for a linear function is given. Fill in the missing value.
x 2 3 5
y 2 1 ?
y = -1
300
Evaluate y = x2 - 2 when x = -2
y = 2
400
The simplest function of the family
Parent fucntion
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No, because the input (x) of 2 has two different outputs (y)
400
Based on the function, what is y when x = -3?
y = -3
400
A table of values for a linear function is given. Fill in the missing value.
x -21 0 21
y -4 -7 ?
y = -10
400
Evaluate y = 4x2 - 1 when x= -2
y = 15
500
A function that involves exponents to find the growth or decay of something
Exponential function
500
No, vertical lines are not functions.
500
What does the slope of a distance vs. time graph represent?
The speed of the object.
500
A table of values for a linear function is given. Fill in the missing value.
x 3 7 10
y -23 -55 ?
y = -79
500
If y = 8 what is x if y = 2x + 4
x = 2