The graph shows two functions A and B, where one is linear and one is exponential. Between x=1

Question

and x=2
, function A goes from being less than function B to greater than function B. What will happen as the functions continue for x greater than 5? Explain.

(1 point)
Responses

Graph A is larger than graph B , so A must be exponential, and B must be linear. The linear and exponential function will cross at multiple values of x for x greater than 5.
Graph A is larger than graph B , so A must be exponential, and B must be linear. The linear and exponential function will cross at multiple values of x for x greater than 5.

Since A is a line, it must be the linear function. Therefore, B must be the exponential function. It will eventually exceed A at some point where x is greater than 5.
Since A is a line, it must be the linear function. Therefore, B must be the exponential function. It will eventually exceed A at some point where x is greater than 5.

The behavior cannot be determined without having more information about the functions.
The behavior cannot be determined without having more information about the functions.

Since A becomes greater than B, it must be the exponential function. Therefore, A will be above B for all x greater than 5.

Answer 1

Since A becomes greater than B between x=1 and x=2, and A is exponential, while B is linear, this means that as x continues to increase beyond 5, A will continue to be above B. The exponential growth of A will always outpace the linear growth of B, leading to A being larger than B for all values of x greater than 5.