Question

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)

Answer 1

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.

Answer 2

I dont know what to graph

Answer 3

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

Answer 4

no

Answer 5

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

Answer 6

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

Answer 7

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.

Answer 8

Okay is it B?

Answer 9

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.

Answer 10

Well G(x)=0.09x crosses between 0

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

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?

Answer 16

so its d

Answer 17

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

Answer 18

Thank you

Answer 19

You're very welcome.