Is it a Function?
Rate of Change
Initial Value
Linear v. Nonlinear
Describing Graphs
100
Does the arrow ap 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
Two linear functions are shown below. Which has a greater rate of change?
Function A (Graph): 1/1 = 1
Function B (Table): 3/2 = 1.5
100
Two linear functions are shown. Which has a greater initial value?
Function A (Table): 4
Function B (Equation): 3
100
Describe each as linear or nonlinear.
Function A: nonlinear
Function B: linear (bonus points for negative slope or decreasing)
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
Which has a greater rate of change, the table or the graph? Explain how you know in 1-2 sentences. Be sure to state each function's rate of change in your answer.
The table has a rate of change (delta y/delta x) of 5. The graph has a rate of change (rise/run) of -2. The table has a greater rate of change because 5>-2.
200
Athlete A's pushup progress can be represented by the equation y=2d+16. Athlete B's progress is represented in the table below. Which has a greater initial value? Explain how you know in 1-2 sentences. Be sure to state each function's initial value in your answer.
Athlete A's initial value is 16. Athlete B's initial value is 12. Athlete A has a greater initial value because 16>12.
200
Does the table below indicate a linear function? Explain how you know in 1-2 sentences. vocabulary
Yes. The change in y is always +2 and the change in x is always +1. This shows a constant rate of change making the function 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