Function Vocab
Function Notation
Is it a function?
Midpoint, Distance, and Lines
More Lines & Circles
100
True or False: Not all relations are functions, but all functions are relations.
True
100
Evaluate f(x)=-3x if x=2
-6
100
Is it a function? {(2, 3), (4, 5), (-2, 6)}
YES because x does not repeat
100
Find the midpoint between the points (2,2) and (4,3)
(3, 5/2)
100
Write the equation of the circle with C: (3, -3) r = 4
(x - 3)2 + (y + 3)2 = 16
200
The set of inputs of a relation
Domain
200
Evaluate f(x)=2x+1 if x=-2
-3
200
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
200
What is true about the slopes of parallel lines?
The slopes of parallel lines are the same.
200
What is the center and radius of the circle:
(x - 4)2 + (y - 5)2 = 49
C: (4, 5) r = 7
300
The set of outputs of a function
Range
300
Evaluate f(x)= -3 - x if x=6
-9
300
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
NO because x repeats
300
Give an example of perpendicular slopes
Many answers: -1 and 1 OR 2/3 and -3/2
300
Find the slope of the line: (-2, 4) (4, -2)
m = -1
400
A relation where every input has exactly one output.
function
400
Evaluate f(x)= -(4x+2) find f(x+3)
-4x - 14
400
Is it a function? {(-3, 9), (-1, 1), (0, 0), (2, 4)}
YES because the x-values do not repeat
400
What is the distance formula
d = sqrt[(x2 - x1)2 + (y2 - y1)2]
400
Write the equation of a line with a slope of 0 and passes through the point (2, 4)
y = 4
500
The test to tell if a graph is a function
The Vertical Line Test
500
f(x) = x2 - x + 7; what is f(x-2)?
x2 - 5x + 13
500
Is it a function? 
NO because it does not pass the Vertical Line Test
500
Rewrite in slope-intercept form: 2(y + 3x) - 10 = 0
y = -3x + 5
500
Write the equation of a line with an undefined slope that passes through the point (-7, 3).
x = -7