Are You Having Fun(ction)?
Am I a function?
What's my function?
Key Features of Graphs
Domain & Range
Indep./Dep.
Cont./Discrete
Cont./Discrete
Composite
100
This word is used to describe the set of all inputs for a function.
What is the domain?
100
What is No, not a function? It does not pass the vertical line test.
100
f(-3) if f(x) = 2x +1
What it -5 ?
100
What is the maximum value for the graph?
6
100
Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 3, 2}?
100
Caroline has 11 gallons of gas in her car at the beginning of a trip. Every hour Caroline drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven. Would the data be discrete or continuous?
continuous
100
Given the definitions of f(x) and g(x) below, find the value of (g∘f)(1).
f(x)=−3x+3
g(x)=2x2+4x−8
-8
200
This word is used to describe the set of all outputs of a function.
What is the range?
200
What is Yes?
200
Let f(x) = x2 + x + 1; find f(-5).
What is 21?
200
The shaded region is increasing, decreasing, or constant.
Decreasing Interval
200
What is the Range?
y<=9
200
Connor’s math teacher said that each question answered correctly on a test would be worth 55 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test. Would the data be discrete or continuous?
discrete
200
Given the definitions of f(x) and g(x) below, find the value of f(g(−2)).
f(x)=x+9
g(x)=2x2+x+3
18
300
What is the maximum value of a graph?
The largest y- value of the graph.
300
The mapping diagram shows a function or not.
What is No, not a function?
300
Based on the graph of the function, what is f(4)?
f(4) = -2
300
What is the first increasing interval for this graph?
-4<=x<=-2
300
Find DOMAIN:
all real numbers
(neg infinity, pos infinity)
300
The perimeter of a square depends on the length of its sides. Answer the questions below regarding the relationship between the perimeter of the square and the length of one side of the square. What are the Independent and Dependent variables?
Dep: perimeter
Ind:length of one side
300
Given the definitions of f(x)and g(x) below, find the value of (g∘f)(0).
f(x)= −3x+1
g(x)=3x2+3x−10
-4
400
How do you determine if a GRAPH is a function or not?
What is the Vertical Line Test?
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
What is No, because the input (x) of 2 has two different outputs (y)?
400
Given f(x)=−5x+1, solve for x when f(x)=−4.
x=1
400
The y-intercept of the graph.
What is (0, 4)?
400
Find the Domain:
-6<=x<=6
400
Caroline has 11 gallons of gas in her car at the beginning of a trip. Every hour Caroline drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven. What is the independent variable?
total hours driven
400
Find g(f(−12)).
-8
500
This word describes any set of ordered pairs where each x-value is paired with one y-value.
What is a Function?
500
Is this a function and why?
What is no, because x's repeat at 8?
500
Find f(4) =
0
500
What is the first negative interval for this graph?
-5<=x<=-3.5
500
Find the RANGE:
-3<=y<=6
500
Zahra has joined the Frequent Coffee Buyer program with a local cafe. The program costs $5 per month which allows her to get a discounted coffee price of $3.00 per cup. Answer the questions below regarding the relationship between the number of cups of coffee purchased and the total monthly cost. What is the function relating these variables? f(x)=
f(x)= 3.00x + 5.00
500
Find g(g(3)).
5