Question

For the graph of an exponential function suppose the y-intercept is negative in the common ratio or is greater than one for this graph as X increases y will

Answer 1

THIS IS THE CORRECT ANSWER

1. decrease

2. increase

Explanation:

Hey I am obviously too late to help you but this might help others. I did the algebra nation and well it's "decrease" for the first one since the y- intercept is negative.

It is "increase" for the second one because the y-intercept is positive.

I dont exactly know how this works but this is my guess:

alright so lets try this:

If you have for example

-y=2^3-100 simplify -y=-92 simplify y=92

and then we have

-y=2^4-100 simplify -y=-84 simplify y=84

so you can see as X increases, Y decreases.

FOR THE SECOND ONE:

lets try this:

y=2^2 y=4

and

y=2^3 y=8

I am sorry if this explanation is not correct but at least you have the correct answer for this question.

Answer 2

Option (1) increase.

Explanation:

Let an exponential function is having common ratio = 3 ( greater than 1) and y-intercept = -1

So the function is,
`f(x)=3^(x)-2`

Now we prepare a table for the values of x and f(x),

x -1 0 1 2

f(x) -1.67 -1 1 7

We find from the table that the values of the function are increasing with the increase in the values of x.

Therefore, Option (1) increase will be the answer.