SOLUTION: a.) Graph f(x)=3^x b.) Evaluate 2f(-0.125)

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Question 126942This question is from textbook Thinking Mathematically
: a.) Graph f(x)=3^x
b.) Evaluate 2f(-0.125) This question is from textbook Thinking Mathematically

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
a)

Start with the given function

In order to plot an exponential function, we need to plot some points
We can start at any x value, so lets start at x=0

Plug in

Raise 3 to the zeroth power to get 1

So when , . So our first point is (0,1)

----Now lets find another point----
Plug in

Raise 3 to the first power to get 3

So when , . So our second point is (1,3)

----Now lets find another point----
Plug in

Raise 3 to the second power to get 9

So when , . So our third point is (2,9)

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Now lets make a table of the values we have calculated

x y

0 1

1 3

2 9

Now plot the points

Connect the points with a smooth curve to form the graph (note: the more points you plot, the easier it is to graph)
Graph of through the points solved for earlier

b)

Start with the given function

Plug in

Use a calculator to evaluate to get 0.8717

Now multiply both sides by 2

Multiply