Vocabulary
Is it a Function?
Evaluating Function Rules
Linear and Nonlinear
Rate of Change and Initial Value/Independent and Dependent Variables
100
What is the definition of domain?
A set of input values (all values of x).
100
Is it a function? Justify your answer.
{(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
100
Evaluate f(2) if f(x)=-3x
f(2) = -6
100
Is the following function linear or nonlinear? Explain your reasoning.
y=3x - 10
It is linear since it is written in slope-intercept (y=mx+b) form.
100
What is the rate of change and initial value in the following scenario? Include the units!!
A car is 8 miles from home and then travels 25 miles per hour.
rate of change = 25 miles per hour
initial value = 8 miles
200
What is the definition of range?
The set of output values (all values of y).
200
Is it a function? Justify your answer.
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
200
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
200
Is the following function linear or nonlinear? Explain your reasoning.
| x | y |
| 3 | 7 |
| 5 | 8 |
| 7 | 9 |
It is linear because the rate of change is constant.
200
What is the rate of change and initial value in the following scenario? Include the units!!
A bucket is filled with 25 ounces of water and is being drained at a rate of 2 ounces per minute.
rate of change = 25 ounces of water
initial value = -2 ounces per minute
300
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
300
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
Evaluate f(-6) if f(x)=x^2 - 9
f(-6) = 27
300
Is this relation linear or nonlinear? Explain your reasoning. 
It is nonlinear since the graph is not a straight line.
300
Identify the independent (x) variable: The relationship between your allowance and the number of chores you do.
The number of chores you do
400
What is the test to tell if a graph is a function?
Vertical line test
400
Is it a function? Justify your answer.
| x | y |
| -1 | 4 |
| 5 | 4 |
| 10 | 4 |
Yes, every input has one output.
400
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
400
Is the following function linear or nonlinear? Explain your reasoning.
y=x2 + 10
It is nonlinear because the x has an exponent of 2.
400
Identify the independent (x) and dependent variables (y): You are buying boxes of cookies at a bakery. Each box of cookies costs $4.
Independent Variable: The number boxes of cookies purchased.
Dependent Variable: How much you spend at the bakery.
500
What is the rate of change? What is the initial value?
The rate at which one quantity changes in relation to another. It is the slope of a linear function.
The initial value is the starting point. It is the y-intercept of a linear function.
500
Is a vertical line a function? Explain your reasoning.
No, a vertical line fails the vertical line test.
500
Evaluate f(x)=42 if f(x)=3x+15
x = 9
500
Is the following function linear or nonlinear? Explain your reasoning.
y=3x(x + 2)
It is nonlinear since y=3x2+6x and the x has an exponent of 2.
500
Identify the independent (x) and dependent (y) variables: On your math quiz, you earn 5 points for each question that you answer correctly.
Independent Variable: Number of questions answered correctly.
Dependent Variable: Score on the quiz.