Function notation
Domain and Range
Piecewise functions
Absolute value functions
Inverse functions
100
What is another name for the input?
x-value, independent variable
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
Define absolute guessing error
How far away a guess is from a specific number
100
What is the inverse of the function
f(x)=2x+5
x=(f(x)-5)/2
200
Describe in words what this says:
C(t)=4
The value of the function C at t is 4
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
300
What is the value for the following, when x = 3:
f(x) = 5x-4
12
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
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
400
If the following function is true, what value of x would make the function equal 100?
f(x)=4x^2
x = 5
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
Between the following values {-3,0,13}, which one is the only one possible for the function shown?
13
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?
f(n)=40-5n
The amount of days that a student can buy lunch with a set amount of money
500
3.5 gallons
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
In a guessing game, a student guesses the number of jelly beans in a jar. The student's guess is 15, and the actual number of jelly beans is 20. Calculate the absolute guessing error.
The answer is 5
500
What is the inverse function for the following?
n=(c(n)-50)/4