Are You Having Fun(ction)?
Am I a function?
What's my function?
Key Features of Graphs
Domain & Range
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}?
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
Find Domain and Range:
x greater than or equal to -2
y greater than or equal to -1
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
3, 5, 7, ...
Write a recursive AND explicit formula to represent the pattern seen above.
Recursive: A(1) = 3; A(n) = A(n-1) + 2
Explicit: A(n) = 1 + 2n
300
What is the first increasing interval for this graph?
[-4,-2]
300
Find DOMAIN:
all real numbers
(neg infinity, pos infinity)
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
When buying a car, you spend $800 for the down payment and $175 each month. Write an explicit formula to represent the total amount of money spent as an arithmetic sequence. How much total would be spent after 5 years (60 months)?
A(n) = 800 + 175n
A(60) = $11,300
400
The y-intercept of the graph.
What is (0, 4)?
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 the RANGE:
-3<=y<=2 or (-3, 2]