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- anonymous

The function of p(x) and g(x) are shown below:
G(x)=0.09x
P(x)=(0.09)^x
Which statement best describes the graph of p(x) and g(x)?
A-The graphs will both have their y intercept equal to 1
B-The graphs will both have their y intercept equal to 0.09
C-The graph of p(x) will eventually exceed the graph of g(x)
D-The graph of g(x) will eventually exceed the graph of p(x)

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- anonymous

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- anonymous

Have you plotted the graphs? If not, i recommend doing that first. Use a graphing calculator or a online plotting utility like wolfram alpha to do so. I think this would be the best way to visually help you understand the questions being asked.

- anonymous

I dont know what to graph

- anonymous

You would graph the two equations. Do you have a graphing calculator or have you ever used wolframalpha before?

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- anonymous

no

- anonymous

Okay that's no problem. First, i'll have you go to http://wolframalpha.com

- anonymous

It's going to bring up a text area similar to how google search bar looks.

- anonymous

When you want to graph something, you first type in graph followed by the equation(s) you want to graph. So in this case type in, graph 0.09x, (0.09)^x
It will graph those two equations for you.

- anonymous

Okay is it B?

- anonymous

No. Take a look at the graphs again. Remember the y-intercept is where it crosses the y-axes. In this case they do not cross the y-axis at the same place.

- anonymous

Well G(x)=0.09x crosses between 0

- anonymous

Good observation. I'll give you one hint. It's either C or D.

- anonymous

C? because the p(x) crosses 0 but it isnt a vertical line

- anonymous

But does p(x) exceed, aka become larger than g(x)??

- anonymous

Idk it might because 0 would be larger then if g(x) increases it would go into negitive numbers right?

- anonymous

Looking at the plot from left to right, look at how it changes. See how g(x) surpasses p(x)? P(x) continues to get smaller and smaller, it continues to get closer and closer to the x-axis. Where as g(x) is a line and continues to grow up and up in the positive direction. Does that make sense/help you out?

- anonymous

so its d

- anonymous

Correct! Does it make sense why now though? That's the most important thing that i was trying to get you to see by graphing it. I know it took a while but it really is important to understand. :D :D

- anonymous

Thank you

- anonymous

You're very welcome.

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