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 func…

Question

asked Jan 21, 2017 9.5k views

2 Answers

Rubens · Answer 1 · 2017-01-27T05:35:56+0000

we know that

The exponential function is of the form

f(x)=a^(x)

where

a is any value greater than

In General:

It is always greater than
, 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

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

$f(3)/f(2)=(27)/(9) \\ =3$

$f(4)/f(3)=(81)/(27) \\ =3$

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

therefore

the answer is the option

D.) exponential