Function Vocabulary
Evaluating Functions
Function Key Features
Function Families
Is it a Function?
100
True or False-A "relation" is a bivariate relationship.
What is TRUE?
100
Evaluate f(x)=-3x if x=2
-6
100
For the function y = 10 - 4x, what is the y-intercept?
10
100
This type of function has the shape of a line.
Linear.
100
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
YES because every input (x) has exactly one output (y).
200
The set of all x-values or inputs of a function.
DOMAIN
200
Evaluate f(x)=2x+1 if x=-2
-3
200
For the linear function 5x + y = 3, what is the rate of change?
-5
200
This type of function is non-linear. It either shows increasing growth or decreasing decay.
Exponential Function
200
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
False, the points fail the vertical line test. (A vertical line touches more than one point.)
300
The set of all y-values or outputs in a function
RANGE
300
Evaluate f(x)=-3 - x if x=6
-9
300
What is the vertex and axis of symmetry for this function: y = xˆ2 + 5 ?
(0, 5) and x = 5
300
This type of function looks like a V shape.
Absolute Value.
300
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
NO; the x-value of 2 has two y-values (4 and 6).
400
The test to tell if a graphed relation is a function
VERTICAL LINE TEST
400
Evaluate f(x)=|20 - 8x| if x=5
20
400
What is the minimum value for the function y = |2x - 2| ?
(1, 0)
400
What type of function is this: y = 100(0.33)ˆx ?
a) Linear, positive
b) Exponential, growth
c) Linear, negative
d) Exponential, decay
EXPLAIN YOUR THINKING!
d) Exponential decay; the base of the exponent (0.33) is less than 1!
400
Is it a function?
YES! Passes the Vertical Line Test! Every x-value has only one y-value.
500
Draw a coordinate plane and label each quadrant correctly.
See Whiteboard.
500
Evaluate f(x)= xˆ2 + 5x - 8 if x=7
76
500
What are the possible number of solutions in a quadratic function? (Give all possibilities.)
0, 1, or 2.
500
Is it a function? 
NO; it does not pass the Vertical Line Test, for example x = -2 has two y-values.