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
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 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 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.
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.
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.
1 answer
The correct response is:
"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 indicates that while linear functions can have a greater growth rate at the beginning, exponential functions eventually grow faster and surpass them.
