Tell whether the function represents exponential growth or exponential decay. Then graph the function.f(x)=(0.25)^{x}

sagnuhh

sagnuhh

Answered question

2021-02-11

Tell whether the function represents exponential growth or exponential decay. Then graph the function. f(x)=(0.25)x

 

Answer & Explanation

curwyrm

curwyrm

Skilled2021-02-12Added 87 answers

Step 1

Given: f(x)=(0.25)x

Step 2

Thefunction represents exponential decay because it has the form y=abxwith a>0,0. The decay factor is 0.25.

x210123y16410.250.06250.016

Step 3

In order to graph the function, we build a table of values:

x210123y16410.250.06250.016

Step 4

We plot the points from the table, then draw a smooth curve that begins on the right, just above the x-axis, passes through the plotted points and moves up to the left:

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?