Domain & Range
Piecewise Functions
Absolute Value Functions
Inverse Functions
Function Notation
100
Define the range of a function
All possible values for the output
100
Define a piecewise function
A function that assigns different rules for different input values
100
What is the vertex of:
f(x) = |x|
Vertex: (0,0)
100
What is the inverse of the function
f(x)=2x+5
x=(f(x)-5)/2
100
What is another name for the input?
x-value, independent variable
200
What is the range for this graph?
All y-values from 2 to infinity
2<=f(x)<oo
[2,oo)
200
How many rules are there in this piecewise function?
6 rules
200
Define absolute value
The distance between a number and 0
200
If a function b(m) gives the number of boxes b needed to store an amount of m marshmallows, what would be the output of its inverse?
m marshmallows
200
Describe in words what this says:
C(t)=4
The value of the function C at t is 4
300
True or false: The domain and range include negative numbers for this graph
FALSE
300
x represents the number of cupcakes, and c(x) represents the cost for the following function. What is the cost for 6 cupcakes?
9 dollars
300
If x=-5, which function has a higher value?
Function g(x)
300
The following equation gives the distance in miles, m, that a car can travel with g gallons of gas. What is the equation for the inverse?
m=40g
g=m/40
300
What is the value for the following, when x = 3:
f(x) = 5x-4
12
400
What is the range for this graph?
All f(x) values from 0 to infinity
[0,oo)
0<=f(x)<oo
400
Why is this piecewise function NOT a function?
There are two output values for x = 2 and x = 6
400
What is the vertex of:
f(x) = |x+4|+3
Vertex: (-4,3)
400
The following function gives the amount of money in a student's lunch account after n days. What information would the inverse function give?
y=(x+3)/5
x=5y-3
400
If the following function is true, what value of x would make the function equal 40?
f(x)=3x+25
x = 5
500
Describe the domain and range of this graph
Domain: all numbers between 0 and 14
Range: all whole numbers between 0 and 80
500
How much does it cost to buy 9 plates? How much does it cost to buy 20 plates?
150 dollars; 260 dollars
500
What is the vertex of:
f(x)= -3|x-7|-9
Vertex: (7,-9)
500
What is the inverse function for the following?
n=(c(n)-50)/4
500
3.5 gallons