Vocabulary
Evaluating Function Rules
Zeros of Functions
Domain & Range
Is it a Function?
100
What is the definition of domain?
A set of input values (all values of x).
100
Evaluate f(2) if f(x)=-3x
f(2) = -6
100
Find the Zeros of the function
f(x)=9x +3
x=-1/3
100
State the domain and range:
| x | y |
| 3 | 7 |
| 5 | 9 |
| 3 | 8 |
D: {3, 5}
R: {7, 8, 9}
100
Is it a function? Justify your answer.
{(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
200
What is the definition of range?
The set of output values (all values of y).
200
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
200
Find the zeros of the function:
h(x)=2x +5
x=-5/2
200
State the domain and range:
D: {1, 2, 3, 4, 5, 6}
R: {-1, 0, 1, 2, 3, 6}
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.
300
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
300
Evaluate f(-6) if f(x)=x^2 - 9
f(-6) = 27
300
Find the zeros of the function:
f(x)=6x
x=0
300
State the domain and range: 
D: -4 ≤ x R: y∈ℝ
300
Is it a function? Justify your answer.
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
400
What is the definition of an independent variable?
A variable whose values affect the values of another variable (dependent variable). It is usually found on the x-axis of a graph.
400
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
400
Find the zeros using your graphing calculator:
f(x) = 2x2-8
x={-2,2}
400
State the domain and range:
D: x ≠−2
R: y ≤ 3
400
Is it a function? Justify your answer.
Yes, it passes the Vertical Line Test.
500
What is the test to tell if a graph is a function?
Vertical Line Test
500
Evaluate f(x)=42 if f(x)=3x^2+15
x = 3 or -3
500
Find the zeros by graphing:
f(x)=x2-3x-5
x={-1,5}
500
State the domain and range:
y^2+12 = x^2+3
D: x ≤ -3; x ≥ 3
R: y ≥ 0
500
Is it a function? Justify your answer.
Yes, each input has exactly one output.