PLZ HELP?!?!?!?!(WILL MEDAL+FAN)
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)?
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).

- anonymous

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- anonymous

i dont know how to to this..

- amilapsn

Did you mean this?\[g(x)=0.09x\\
p(x)=0.09^x\]

- anonymous

it says
g(x) = 0.09x
p(x) = (0.09)x

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## More answers

- anonymous

i think its either a or b

- freckles

ab is the same as a(b)
I'm kind of thinking you meant what @amilapsn wrote above

- anonymous

yeah they do mean the same thing

- freckles

\[\\ p(x)=0.09^x \text{ this is the same as } \\ p(x)=(0.09)^x \\ \text{ if you have happen to have ( )} \\ \text{ in your problem and you don't know what they mean }\]
so did @amilapsn interpret your problem correctly

- anonymous

yes, i agree it can be written p(x)=0.09^x

- freckles

ok so great we are in agreement (0.09)x is not the same as (0.09)^x correct?

- freckles

anyways do you know how to graph the line and the exponential function ?

- anonymous

no

- freckles

A. The graphs will both have their y-intercept equal to 1.
can we answer this question then?
to find the y-intercept set x=0 and find y.
\[\\ \text{ for } g \text{ we have } y=0.09(0)=? \\ \text{ for } p \text{ we have } y=0.09^0=?\]
are the y-intercepts the same?

- anonymous

Yes they both equal 1
oh i was over thinking it all i had to do was solve for y
Thank you, ur a life saver

- freckles

no

- freckles

0.09 times 0 is 0

- freckles

0.09 to the 0 power is 1

- freckles

they are not both the same so choice A is definitely not the answer
let's look at choice B

- freckles

B. The graphs will both have their y-intercept equal to 0.09.
we know this is false too because we already found the y-intercepts previously

- freckles

so the next thing to do is see which function eventually exceeds the other

- freckles

and it would be kinda helpful to graph/draw the functions

- freckles

|dw:1441046198584:dw|

- anonymous

oh so one equals 0 and the other 1 i forgot one wasnt an exponent

- freckles

can you guess which one is p(x) and which one is g(x) in the picture

- anonymous

is gx the curved one

- freckles

isn't g(x)=0.09x which means it is linear

- freckles

|dw:1441046387153:dw|

- freckles

reading the graph from left to right
which curve/line starts to get higher than the other one

- anonymous

px

- freckles

|dw:1441046480427:dw|
g is higher than p
g eventually exceeds p

- anonymous

i get it because g got higher than p in the end

- freckles

yes

- anonymous

so the answer is d

- freckles

yes

- anonymous

ok thanks : )

- freckles

np

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