Random
Function or Not?
Linear vs. Nonlinear
Domain & Range
Equations/Rate of Change
100
Write the equation of the linear function below.
y=3x-1
100
No, it does not pass the vertical line test.
100
Linear or nonlinear? Why?
linear, straight line
100
What is the the DOMAIN?
{(-2, 4), (3, 2), (2, 10), (-5, 11)}
{-5, -2, 2, 3}
100
Identify the rate of change:
y = 6 + 2x
2
200
Is the following function linear or nonlinear? Why?
y= 4x-1 +3x
nonlinear, exponent other than 1
200
Yes, it passes the vertical line test.
200
Linear or nonlinear? Why?
nonlinear, not a straight line
200
Find DOMAIN:
{2, 3, 4}
200
Identify the rate of change:
-3
300
Order the following rates of change from least to greatest.
A) y= 3/5x + 1
B) y= 1/4x - 3
C) y=5/2x + 5
B, A, C
300
Is the mapping a function or not?
No, the input value of 2 is mapped to two different outputs.
300
Linear or nonlinear? Why?
y=3x+2
linear, exponent of 1
300
Find the RANGE:
x y
1 2
2 5
6 2
2 9
5 1
{1, 2, 5, 9}
300
Identify the rate of change:
3
400
Temperatures in Farmingdale were measured over several hours last week. The recorded temperatures are shown in the table.
John says that the temperature is changing by 12 degrees every hour. Is he correct? Why?
no, the rate of change is 4/2, which simplifies to 2. 2 degrees per hour
400
Does the following table represent a function? Why?
x y
1 2
2 5
6 2
2 9
5 1
No, the x-value of 2 repeats.
400
Linear or nonlinear? Why?
y=10 - 5x3
nonlinear, exponent other than 1
400
Find the DOMAIN:
x y
1 2
2 5
6 2
2 9
5 1
{1, 2, 5, 6}
400
Write the equation of the function based on the graph below.
y = 1/2x - 3
500
What do the rate of change and initial value represent in this context?
rate of change: how much the tree grows each day (4 inches per day)
initial value: how tall the tree was when it was planted (8 inches)
500
Is this a function and why?
No, there are two points found on the x-value of 8- it does not pass the vertical line test.
500
Give an example of a linear function and explain what makes it linear.
Give an example of a nonlinear function and explain what makes it nonlinear.
answers vary
500
Find the domain AND range:
{(-1,2), (4, 3), (5, 3), (8, 8), (11, 10)}
domain: {-1, 4, 5, 8, 11}
range: {2, 3, 8, 10}
500
Write the equation of the function based on the graph below.
y = 2x +8