The graphs of four exponential functions are shown below:

(attacked below)

Which pair of graphs should be plotted to show the solution to (equation below w/ graph)

Question

The graphs of four exponential functions are shown below:

(attacked below)

Which pair of graphs should be plotted to show the solution to (equation below w/ graph)

anonymous · Answer

$$4(2)^x = 4\left(\begin{matrix}1 \ 2\end{matrix}\right)^x$$

aum · Answer

Put x = 0, What is the y-value of $4(2)^x$  and  $4\left(\frac 12\right)^x$  ?

anonymous · Answer

4 = 4

anonymous · Answer

Does that mean A to B? @aum

aum · Answer

Yes.  A and B.  B is the increasing function and it represents $4(2)^x$.
A is a decreasing function and represents $4\left(\frac 12\right)^x$.

Both have y-intercepts of 4 which makes it easy to identify in the graph.

anonymous · Answer

Oh! Thank you! That was stupid easy... can't believe I had to ask.

aum · Answer

You are welcome.