Analyzing Functions
A set of all the x-values.
What is domain?
F(x) = 3x + 4, evaluate F(2)
What is F(2) = 10
If you use the vertical line test and it intersects the graph and more than on place, is the graph a function?
What is No?
A graph that is a straight line is considered?
What is a linear Function?
The set of all y-values.
What is range?
F(3) = 5x - 2, evaluate F(3)
What is F(3) = 13
Is the following relation a function? {(0,2),(-1,3),(3,2),(-4,5)}
What is yes?
Assuming linearity, complete the following table.
x. f(x)
-2 0
0 5
2 ____
What is 10?
What is the range of the following relation? {(5,-2),(-3,-2),(0,-2),(-2,-2)}
What is {-2}?
F(x) = -x - 10, evaluate F(4)
What is F(4) = -14
Draw a mapping that is NOT a function.
Answers vary
Choose which of the following is NOT a linear function.
x+y = 12
y+2 = 3x - 7
x2 - 1 = y
What is x2 - 1 = y?
What is the domain of the following relation? {(5,-2),(-3,-2),(0,-2),(-2,-2)}
What is {-3,-2,0,5}?
f(x) = 3x2 - x + 2
Find f(-1)
What is f(-1) = 6
A graph, table or mapping that shows no repeated x-values.
What is a function?
Assuming linearity, complete the following table:
x f(x)
0 -2
1 -4
3 -8
5 ____
What is -12?
What is the range of the function below? y = 3x {Domain: 0,1,2,3,4)}
What is {0,3,6,9,12}?
Given g(x) = -x2- 12, what is g(3)?
g(3) = -21
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Complete the table for the function
f(x) = -2x + 5
x f(x)
0
1
3
5
What is:
f(x)
5
3
-1
-5