Question

Function 1: f(x)=32x+5

Function 2: (graph)

(1 point)
Which function has the greater rate of change?

Answer:

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1 answer

To determine which function has the greater rate of change, we can analyze what that means for each function.

  1. Function 1: \( f(x) = 32x + 5 \)

    • This function is linear, and the coefficient of \( x \), which is 32, represents the rate of change (slope). Therefore, the rate of change for Function 1 is 32.
  2. Function 2: Since the graph is not provided, I can't analyze it directly. However, the rate of change can typically be identified as the slope of the line for linear functions. If it is a non-linear function, the rate of change can vary across its domain.

If Function 2 is also linear, compare the slope of that line with 32. If it is higher than 32, then Function 2 has a greater rate of change; if it's lower, then Function 1 has a greater rate of change.

If you can provide more information about the graph or specify if it’s linear or not, I can compare it more accurately.