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).
What is the rate of change (or slope) of the function represented in the graph below?
Function A (Graph): rise/run = 1/1 = 1
What is the initial value (or y-intercept) of the function represented in the graph below?
Function A (Graph): y-intercept = 2
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.
Describe the behavior of the function in each interval as increasing, decreasing, or constant.
(a) increasing
(b) constant
(c) decreasing
(d) constant
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.
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
What is the initial value (or y-intercept) of the function represented in the table below?
Function B (Table): when x is 0 = 0
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.
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
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.
What is the rate of change (or slope) of the function represented in the equation below?
Function B (Equation): m =7
What is the initial value (or y-intercept) of the function represented in the equation below?
Function B (Equation): b = 3