Am I a function?
Functions, functions, functions
Functions as Graphs
Domain and Range
100
In a function, how many outputs can one input have?
Each input has one and only one output.
100
Evaluate y = 2x +1 when x = -3
y = -5
100
Based on the function, find f(3)
f(3)=2
100
Identify the domain of the function in the graph
All numbers in between -4 and 5
-4<x<5
[-4,5]
200
Yes
200
The height of water in a bathtub, w, is a function of time t. P represents this function. The height is measured in inches and time in seconds.
What does the statement P(120)=5 mean in this situation?
After 120 seconds the height of the water in the tub was 5 inches.
200
The function f gives the distance of a dog, in feet, as a function of time, in seconds, since its owner left. Find f(20) and explain what it means in words.
f(20)=3
20 seconds after the owner left, the dog was 3 feet from the post
200
Identify the range of the function
all numbers in between -3 and 5
-3<y<5
[-3,5]
300
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)
300
If y = 8 what is x if y = 2x + 4
x = 2
300
The function f gives the distance of a dog, in feet, as a function of time, in seconds, since its owner left. Identify when the dog is furthest from the post, present your answer in function notation.
f(50)=5
300
The graph of the function represents the temperature between noon and midnight in a certain city on a certain day. Find the domain and range of the function.
Domain: 0 to 12
Range: 50 to 59
400
Is this the graph of a function?
....... yes ....
400
Evaluate y= x2 + x + 1 when x = -5
y = 21
400
Identify when the function is increasing and decreasing
Increasing: From -3 to 0
Decreasing: from -1 to -3 AND from 0 to 5
400
Identify the domain and range of the function
Domain: all numbers between 0 and 10
Range: 1, 3, and 7