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Question

A coordinate plane has an increasing solid curve and a dotted straight line plotted on it, representing two functions.

Consider the graph of Function A and Function B. What does this graph help to demonstrate about the growth rate of linear functions compared to the growth rate of exponential functions?

(1 point)
Responses

The growth rate of Function A is always greater than the growth rate of Function B. Exponential functions will always have greater growth rates than linear functions.
The growth rate of Function A is always greater than the growth rate of Function B. Exponential functions will always have greater growth rates than linear functions.

Initially, Function B has the greater growth rate. Eventually, the growth rate of Function A surpasses the growth rate of Function B. The growth rate of an exponential function will always eventually exceed the growth rate of a linear function.
Initially, Function B has the greater growth rate. Eventually, the growth rate of Function A surpasses the growth rate of Function B. The growth rate of an exponential function will always eventually exceed the growth rate of a linear function.

The growth rate of Function B is always greater than the growth rate of Function A. Linear functions will often have greater growth rates than exponential functions.
The growth rate of Function B is always greater than the growth rate of Function A. Linear functions will often have greater growth rates than exponential functions.

Initially, Function A has the greater growth rate. Eventually, the growth rate of Function B surpasses the growth rate of Function A. The growth rate of a linear function will always eventually exceed the growth rate of an exponential function.

Answer 1

Based on the description you provided, it seems that Function A represents an exponential function, which typically grows faster over time than linear functions, represented by Function B.

The correct response would likely be:

"Initially, Function B has the greater growth rate. Eventually, the growth rate of Function A surpasses the growth rate of Function B. The growth rate of an exponential function will always eventually exceed the growth rate of a linear function."

This response highlights the key characteristic of exponential functions compared to linear functions over time.