SOLUTION: Hello Jim, f(x)= (1/5)^x help please I have to graph this???

Question 173133: Hello Jim,
f(x)= (1/5)^x help please I have to graph this???
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to plot some points:

Note: I'll use "y" in place of f(x)

Let's find the y value when

Start with the given equation

Plug in

Flip the fraction to make the exponent positive.

Reduce

Raise to the first power to get 5

So when , then

-----------------------------------------------

Now let's find the y value when

Start with the given equation

Plug in

Raise to the zeroth power to get 1

So when , then

-----------------------------------------------

Now let's find the y value when

Start with the given equation

Plug in

Raise to the first power to get

Divide

So when , then

-----------------------------------------------

Now let's find the y value when

Start with the given equation

Plug in

Square to get

Divide

So when , then

-----------------------------------------------

Now let's find the y value when

Start with the given equation

Plug in

Cube to get

Divide

So when , then

-----------------------------------------------

Now let's find the y value when

Start with the given equation

Plug in

Raise to the fourth power to get

Divide

So when , then

-----------------------------------------------

So we have the following values:

x	y
-1	5
0	1
1	0.2
2	0.04
3	0.08
4	0.0016

Now let's plot these points

Now draw a curve through those points to graph

Note: the graph does NOT cross or touch the x-axis. It just looks like that since the y values become very small.
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