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

sagnuhh 2021-02-11 Answered

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

 
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Expert Answer

curwyrm
Answered 2021-02-12 Author has 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:

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