Question

51) Eloise had to solve a system of inequalities that contained an exponential growth function and a linear function with positive slope. She KNOWS that the two equations intersect at least once, and she was asked to state the interval where the linear > exponential. Which could be an answer to her system of inequalities? A) (-1, 3) B) (-1, [infinity]) C) (-[infinity], -1) D) (-[infinity], -1) ∪ (3, [infinity])

Answer 1

Answer is A. (-1, 3)

Refer below.

Explanation:

If the line and exponential function intersect only once then the line is tangent to the exponential at that point and therefore is always is below the exponential except at the point of intersection where there are equal.