Use the graph to answer the question.

Question

Function 1:

Function 1: shown in the graph above

Function 2: f(x)=32x+5


Which function has the greater rate of change?

(1 point)
Responses

Function 1
Function 1

Function 2
Function 2

Answer 1

To determine which function has the greater rate of change, we need to analyze the slopes of both functions.

Function 1's slope can be observed from the graph. If the graph is a straight line, the slope represents the rate of change, which is calculated as the "rise" (change in y) over "run" (change in x).

Function 2 is given as \( f(x) = 32x + 5 \). The coefficient of \( x \) (which is 32) represents the slope of this linear function, so the rate of change for Function 2 is 32.

Now, compare the slopes:

• If Function 1 is linear, check what the slope appears to be from the graph.
• If Function 1's slope is less than 32, then Function 2 has the greater rate of change.
• If Function 1's slope is greater than 32, then Function 1 has the greater rate of change.

Since I cannot see the graph, but based on the information about Function 2, if Function 1's slope is not greater than 32, then Function 2 would have the greater rate of change.

If you have more details about Function 1's graph, you can provide that to clarify. But based on the data provided, Function 2 has a known slope. If Function 1's slope is less than 32, the answer is "Function 2."