anonymous
  • anonymous
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).
Algebra
chestercat
  • chestercat
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anonymous
  • anonymous
i dont know how to to this..
amilapsn
  • amilapsn
Did you mean this?\[g(x)=0.09x\\ p(x)=0.09^x\]
anonymous
  • anonymous
it says g(x) = 0.09x p(x) = (0.09)x

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anonymous
  • anonymous
i think its either a or b
freckles
  • freckles
ab is the same as a(b) I'm kind of thinking you meant what @amilapsn wrote above
anonymous
  • anonymous
yeah they do mean the same thing
freckles
  • 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
  • anonymous
yes, i agree it can be written p(x)=0.09^x
freckles
  • freckles
ok so great we are in agreement (0.09)x is not the same as (0.09)^x correct?
freckles
  • freckles
anyways do you know how to graph the line and the exponential function ?
anonymous
  • anonymous
no
freckles
  • 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
  • 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
  • freckles
no
freckles
  • freckles
0.09 times 0 is 0
freckles
  • freckles
0.09 to the 0 power is 1
freckles
  • freckles
they are not both the same so choice A is definitely not the answer let's look at choice B
freckles
  • 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
  • freckles
so the next thing to do is see which function eventually exceeds the other
freckles
  • freckles
and it would be kinda helpful to graph/draw the functions
freckles
  • freckles
|dw:1441046198584:dw|
anonymous
  • anonymous
oh so one equals 0 and the other 1 i forgot one wasnt an exponent
freckles
  • freckles
can you guess which one is p(x) and which one is g(x) in the picture
anonymous
  • anonymous
is gx the curved one
freckles
  • freckles
isn't g(x)=0.09x which means it is linear
freckles
  • freckles
|dw:1441046387153:dw|
freckles
  • freckles
reading the graph from left to right which curve/line starts to get higher than the other one
anonymous
  • anonymous
px
freckles
  • freckles
|dw:1441046480427:dw| g is higher than p g eventually exceeds p
anonymous
  • anonymous
i get it because g got higher than p in the end
freckles
  • freckles
yes
anonymous
  • anonymous
so the answer is d
freckles
  • freckles
yes
anonymous
  • anonymous
ok thanks : )
freckles
  • freckles
np

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