Question

Quadratic functions. Linear, exponential, or a new kind of function? E and f?

Answer 1

e.

5^0 = 1; 5^1 = 5; 5^2 = 25; 5^(-1) = 1/5; 5^(-2) = 1/25

This is an exponential function since the exponent is a variable.

Function: f(x) = 5^x

Recursive: $a_n = 5a_{n-1}$

f.

Look at f(x) = x^2 for x = -2, -1, 0, 1, 2

f(-2) = 4

f(-1) = 1

f(0) = 0

f(1) = 1

f(2) = 2

Now look at the y-values in the table. They are the same we have here added to 5.

Your function is a quadratic function.

f(x) = x^2 + 5