Question

Which functions in the table below give values that could come from exponential functions? Check all that apply. X -3 -2 -1 0 1 2 3 f(x) 1 4 9 16 25 36 49 g(x) 0.125 0.25 0.5 1 2 4 8 h(x) 0.25 0.5 0.75 0 1.25 1.5 1.75 k(x) 64 16 4 1 0.25 0.0625 0.0156 A A. f(x) I B. h(x) C. g(x) D. k(x)

Answer 1

Step 1: Concept

An exponential function is a Mathematical function in form

$f(x)=a^x$

where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Step 2:

$\begin{gathered} An\text{ exponential function can be written in the form of} \\ y=a^x \end{gathered}$

Step 3:

The only exponential function from the table is g(x)

$g(x)=2^x$

Final answer

g(x)