Are You Having Fun(ction)?
Am I a function?
What's my function?
Key Features
Domain & Range
Linear vs. Nonlinear
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
Solve for f(-3) if f(x) = 2x +1
What is -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
y=12/x
Non-linear
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 in the following relation?
{(3, 6), (4, 9), (5, 12), (6, 15)}
{6, 9, 12, 15}
200
3x-y=6
Nonlinear
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,-2]
300
What is the domain of this graph?
{-6, -3, 0, 4, 5, 6.5}
300
y=x
Linear
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
What is the range for when the domain is {-1, 2, 5, 8}based on this function:
f(x)=2x-1
{-3, 3, 9, 15}
400
The y-intercept of the graph.
What is (0, 4)?
400
What is the range for the following nonlinear function if the domain is {-1, 2, 5}?
y=x^2-3
{-2, 1, 22}
400
y=-1/4 x+2
Linear
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
A graph that shows a curve is called a _________.
(Hint: these types of curves are caused by having an exponent of 2 attached to the x)
Parabola
500
Is the 'output' another term for the domain or the range?
Range
500
Domain: 2, 3, 4, 5
Range: 3, 6, 12, 21
Nonlinear