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.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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