Question

Function g is an exponential function passing through points (3,-53) and (5,-41). Which statement is true over the interval [3,5]?

Answer 1

Answer: The function is increasing in the given interval.

Step-by-step explanation:

The options are not given, so i will answer in a general way.

We have an exponential function g(x) such that:

g(3) = -53

and

g(5) = -41

From this we can only conclude that in the interval [3, 5] the function is increasing, because g(5) > g(3) and the general form of a exponential function is:

g(x) = A*(r)^x + C

Notice that we have two equations and 3 variables in the equation, this means that we can not find an exact solution for g(x) (we need the same number of independent equations than variables)

Then we can not conclude anything else for g(x)