Question

A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table: Product Function Year 1 (dollars) Year 2 (dollars) Year 3 (dollars) Product 1 f(x) = 3x 3 9 27 Product 2 g(x) = x2 + 4 5 8 13 Based on the data in the table, for which product does the price eventually exceed all others, and why? Product 1, because the function is exponential Product 2, because the function is exponential Product 1, because it has a greater start value Product 2, because it has a greater Year 3 value

Answer 1

Product 1, because the function is exponential

Step-by-step walk-through of options:

D) Product 2, because it has a greater Year 3 value x

It very clearly does NOT have a greater Year 3 value.

C) Product 1, because it has a greater start value x

It very clearly does NOT have a greater start value.

B) Product 2, because the function is exponential x

At first glance, this is a possibility. Just input the functions into a graph to be sure.

A) Product 1, because the function is exponential √

Product 1 clearly has an exponential function. Just by looking at the rapid increase on the table, it should be clear. Still have doubts? Just input the functions into a graph to be sure.

Just took the test.

Answer 2

A. Product 1, because the function is exponential

Explanation:

Product 1's price is increasing at a larger exponential rate than Product 2, and options C and D are obviously incorrect.