Relations and Functions
Domain and Range
Function Notation
Slope from a graph
Slope from Two Points
100
A relation is a function when every ___________ has exactly one _________________.
input, output
100
Determine the domain and range of the following graph.
domain: [1,5]
range: [1,6]
100
Write the following in function notation:
y=2x+3
f(x)=2x+3
100
Find Slope
What is -1/2?
100
Find the slope of the line passing through (1, −19), (−2, −7)
What is -4?
200
Is the following relation an example of a function?
(1,2)
(3,8)
(-1,4)
(2,8)
Yes, the relation is a function.
200
Determine the domain and range of the following graph.
domain: 1,2,3
range: 3, 4, 5
200
Evaluate the function when x=2:
f(x)= - x + 3
f(2) = 1
200
m=3/2
200
Find the slope of the line passing through the points (17, 3), (17, -5)
What is 0?
300
Is the following relation a function?
(1,3)
(2,-3)
(1,4)
(-1,0)
No, the relation is not a function because the input "1" repeats!
300
Find the domain and range!
Domain: ( - infinity, 1]
Range: [0, infinity)
300
Let n(t) be the number of DVDs you have in your collection after t trips to the video store. Explain the meaning of the statement below.
n(3) = 5
After 3 trips to the video store, I have 5 DVDs in my collection.
300
m=3/4
300
Write the slope of the line passing through the points (12, 9), (-17, 9).
What is undefined?
400
This test will help determine if the relation on a graph is a function or not.
The Vertical Line Test
400
The function y = 15.95x represents the cost y (in dollars) of x tickets for the South Florida Museum.
Is this discrete or continuous?
Discrete
400
The function B(m) = 50m + 150 represents the balance (in dollars) in your savings account after m months. How much will your balance be after 5 months?
$400
400
Translate the following graphs using the transformation: f (x) + 2
(1,2)
(3,4)
(5,6)
(1,4)
(3,6)
(5,8)
400
Find the slope of the line passing through the points (-3, −8), (6, 7).
What is m=5/3?
500
Determine whether the following is a function:
The same television station x, can be found on more than one channel y.
No, this is not a function!
500
A dog often gives birth to multiple puppies at a time. The total size t(p) of a litter is determined by the amount of puppies p that are born.
Is this domain discrete or continuous?
Discrete...
You can only have whole number puppies
500
Evaluate the function.
f(x) = 4x + 8
when f(x) = 16
x = 2
500
Graph the following transformation:
f(5x)
**Give me the new coordinates**
(1,1)
(5,2)
(10,3)
(1/5, 1)
(1, 2)
(2, 3)