Question

The functions 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)?

The graphs will both have their y-intercept equal to 1.

The graphs will both have their y-intercept equal to 0.09.

The graph of p(x) will eventually exceed the graph of g(x).

The graph of g(x) will eventually exceed the graph of p(x).

Answer 1

Well could you please use ^ to indicate exponents? Thank you in advance.

Answer 2

sorry
The functions 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)?

The graphs will both have their y-intercept equal to 1.

The graphs will both have their y-intercept equal to 0.09.

The graph of p(x) will eventually exceed the graph of g(x).

The graph of g(x) will eventually exceed the graph of p(x).

Answer 3

What will the graph of g(x) look like?

Answer 4

http://www.wolframalpha.com/input/?t=crmtb01&f=ob&i=0.09x%2C%200.09%5Ex

Answer 5

If the base is smaller than 1, it's what we call an exponential decay

Answer 6

I was hoping that perhaps the original poster would do a little thinking...

Answer 7

But 0.09x is always increasing

Answer 8

@whpalmer4 Don't worry, I'll let her do some thinking

Answer 9

so p(x) will decrease as g(x) increases?

Answer 10

Yep

Answer 11

So the answer is D?

Answer 12

Yes, and sorry I have to go now

Answer 13

THANK YOU SOOOO MUCH FOR ALL OF YOUR HELP :) :) <3

Answer 14

NO PROBLEM AT ALL :DDDDD