Relations vs. Functions
ROC and IV
Linear vs. Nonlinear
Comparing Functions
Sketching Graphs
100
Do the following coordinates represent a function or a relation? Explain how you know.
{(2,5), (4,7), (6,7), (2,8)}
Relation
100
Determine the Rate of Change and Initial Value for the following
y=4x-7
ROC = 4
IV = -7
100
Is this function linear or nonlinear? Explain how you know.
y=3x-8
Linear
100
Which function has the greater rate of change? Explain how you know.
Function B ROC = 6
Function A ROC = 3
Function B has a greater ROC.
100
A graph shows a horizontal line as time passes. What does this tell you about the situation? Explain how you know.
The quantity is constant/not changing.
200
Does the following table represent a function or a relation? Explain how you know.
Function AND Relation [BOTH].
200
Determine the Rate of Change and Initial Value for the following
ROC = 6
IV = 15
200
Is this function linear or nonlinear? Explain how you know.
y=x^2-2
Nonlinear
200
Which function has the greater rate of change? Explain how you know.
Function A ROC = 3
Function B ROC = 2
Function A has a greater ROC.
200
One a distance-time graph, the line is going upward from left to right. What is happening to the distance? Explain how you know.
The distance is increasing.
300
Does the following diagram represent a function or a relation? Explain how you know.
Relation.
300
Determine the Rate of Change and Initial Value for the following
ROC = 3
IV = 5
300
Is this function linear or nonlinear? Explain how you know.
Nonlinear
300
Find the rate of change and initial value for each function. Which function has the greater initial value?
Function A IV = 25
Function B IV = -2
Function A has the greater IV
300
Two lines both show a quantity is increasing. Line A is steeper than Line B. Which line has a faster rate of change? Explain how you know.
Line A
400
Does the following graph represent a function or a relation? Explain how you know.
Function AND Relation [BOTH].
400
Determine the Rate of Change and Initial Value for the following
ROC = 3
IV = 1
400
Is this function linear or nonlinear? Explain how you know.
Nonlinear.
400
Determine the ROC and IV for each function. Which function is moving faster? Explain how you know.
Function A; ROC = 3, IV = 3
Function B; ROC = -2; IV = 3
Function A is moving faster.
400
A graph shows the amount of water in a tank. The line rises slowly for 5 minutes, then becomes much steeper. What happened to the rate at which water was being added?
Water started being added faster, the rate increased.
500
Which of the following represents a function? Explain how you know.
Relation A
500
Determine the Rate of Change and Initial Value for the following:
A school is renting a bus for a field trip. The bus company charges a flat fee of $175 plus $12 for every student who rides the bus.
BONUS [+100]: Write the linear equation to represent the situation.
ROC = 12
IV = 175
EQUATION: y = 12x + 175
500
One of the functions is linear and the other is nonlinear. Identify which is which and explain how you know.
Function A = Linear
Function B = Nonlinear
500
You are starting a business mowing lawns. Determine which plan below will get you $200 the fastest.
Plan A
500
A graph represents the person's distance from home over time. The graph rises steeply, becomes flat, then slopes downward gently. Write a story to describe what happened during each part of the graph.
Answers Vary