graph a is up and down line

Question

graph b is a straight line
graph c is a circle
Look at the Graphs a, b, and c. Answer the questions.

(4 points)
A. Which graph(s) are not a function? (Response area)

B. Why are the graph(s) NOT a function? (Response area)

C. Which graph(s) are NOT Linear? (Response area)

D. Which graph(s) have a constant rate of change? (Response area)

responses
graph a
graph b
graph c
graph a and c
graph b and c
graph a and b
because each input does not have exactly one output
because each output does not have exactly one input
because it is not linear
because the graph increases and decreases

Answer 1

Here are the responses to your questions regarding graphs a, b, and c based on their descriptions:

A. Which graph(s) are not a function?

• Response: graph c (the circle) and graph a (the up and down line, if it is oscillating without any periodic restriction)

B. Why are the graph(s) NOT a function?

• Response: because each input does not have exactly one output (for graph c, due to the nature of circles, there are x-values that correspond to multiple y-values).

C. Which graph(s) are NOT Linear?

• Response: graph a (the up and down line) and graph c (the circle).

D. Which graph(s) have a constant rate of change?

• Response: graph b (the straight line) has a constant rate of change, as linear graphs do.

Overall, here’s a concise summary:

• A: graph c (and possibly graph a)
• B: because each input does not have exactly one output
• C: graph a and graph c
• D: graph b