Which describes the function over the interval given in the table?

a.) a decreasing quadratic function.
b.) an increasing quadratic function.
c.) a decreasing exponential function.
d.) an increasing exponential function.

The Answer is D.

Step-by-step explanation:

To solve this question we should use the process of elimination.

We can clearly see that the function f(x) increases as x increases so we can rule out options A and C.

Now we have to decide between B and D.

So the format for a quadratic function is

The format for an exponential function is

So let's try exponential first:

at x = 0 we solve for a and b:

so we find b when x =5

b = 1.04060

Then we evaluate the value as x=10

As can be seen from both cases b is the same. This is a key chareteristic of an exponential function. So the Answer is D.