Question

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?

A.) linear
B.) quadratic
C.) square root
D.) exponential

Answer 1

we know that

The exponential function is of the form

$f(x)=a^{x}$

where

a is any value greater than $0$

In General:

It is always greater than $0$, and never crosses the x-axis

It always intersects the y-axis at $y=1$

Its Domain is the Real Numbers

Its Range is the Positive Real Numbers

Examples

Let

$a=3$

1) For $x=2$

$f(2)=3^{2} \\ f(2)=9$

2) For $x=3$

$f(3)=3^{3} \\ f(3)=27$

3) For $x=4$

$f(4)=3^{4} \\ f(4)=81$

4) For $x=5$

$f(5)=3^{5} \\ f(5)=243$

$f(3)/f(2)=\frac{27}{9} \\ =3$

$f(4)/f(3)=\frac{81}{27} \\ =3$

$f(5)/f(4)=\frac{243}{81} \\ =3$

therefore

the answer is the option

D.) exponential

Answer 2

Answer: I believe the answer to that query is D.

Step-by-step explanation:

Exponential