Is it a Function?
Rate of Change
Initial Value
Linear v. Nonlinear
Describing Graphs
100

Does the arrow map represent a function? Explain how you know in 1-2 sentences. vocabulary

Yes. Each input (x or domain) has EXACTLY ONE output (y or range).

100

What is the rate of change (or slope) of the function represented in the graph below? 

Function A (Graph): rise/run = 1/1 = 1

100

What is the initial value (or y-intercept) of the function represented in the graph below?

Function A (Graph): y-intercept = 2

100

Is the function linear or nonlinear? Explain how you know in 1-2 sentences.

The function is linear because the graph is a straight line.

100

Describe the behavior of the function in each interval as increasing, decreasing, or constant.

(a) increasing

(b) constant

(c) decreasing

(d) constant

200

Does the graph represent a function? Explain how you know in 1-2 sentences. vocabulary

It is not a function because the graph fails the vertical line test. When I draw a line at x=1, the line intersects the graph at 3 locations.

200

What is the rate of change (or slope) of the function represented in the table below?

Function B (Table): change y / change x = 3/2

200

What is the initial value (or y-intercept) of the function represented in the table below?

Function B (Table): when x is 0 = 0

200

Does the table below indicate a linear function? Explain how you know in 1-2 sentences.

Yes. The change in y (jumps) is always +2 and the change in x (jumps) is always +1. Because all of the jumps are the same, the function is linear.

200

Jamil walks home from school. He stops to talk with a friend. He then walks the rest of the way home. Does the first or second graph match the verbal description?

The first graph

300

Does the table represent a function? Explain how you know in 1-2 sentences. vocabulary

No. The input of 3 has two outputs (54 and 84). To be a function, an input only have one output.

300

What is the rate of change (or slope) of the function represented in the equation below?

Function B (Equation): m =7

300

What is the initial value (or y-intercept) of the function represented in the equation below?

Function B (Equation): b = 3

M
e
n
u