What is the word for a list of all the x values?
domain
Evaluate f(2) if f(x)=-3x
f(2) = -6
State the domain and range:
(3,7) (5,9) (3,8)
domain 3, 5
range 7, 8, 9
Is it a function? Justify your answer. {(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
What is a word for a list of all the y values?
Range
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
State the domain and range:
(1,0) (-1,5) (2,3)
domain -1, 1, 2
range 0, 3, 5
Using the vertical line test, does the graph of the points (1,3) and (1,5) represent a function?
No, the points fail the Vertical Line Test.
A relation where every x value has only one y value is called a...
function
Evaluate f(-6) if f(x)=x2 - 9
f(-6) = 27
State the domain and range:
(0,6) (1,6) (2,6) (3,6)
domain 0, 1, 2, 3
range 6
Is it a function? Justify your answer.
(2,4) (1,5) (2,6)
No, the input of 2 has two different outputs.
The test used to see if a graph is a function
Vertical line test
Evaluate f(4) if f(x)=25 - 4x
f(x)=9
State the domain and range:
(8,11) (-3,4) (6,5) (-1,14)
domain -3, -1, 6, 8
range 4, 5, 11, 14
Is it a function? Justify your answer. (Draw a parabola)
Yes, it passes the Vertical Line Test.
Which variable is the input and which variable is the output?
x is the input, y is the output
Evaluate f(9) if f(x)=3x+15
f(9)=42
State the domain and range:
(0,1) (1,0) (2,2), (-5,-4) (0,-4)
domain -5, 0, 1, 2
range -4, 0, 1, 2
Is it a function? Justify your answer. (Draw a circle)
No, it does not pass the vertical line test.