anonymous one year ago 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).

1. anonymous

i dont know how to to this..

2. amilapsn

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

3. anonymous

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

4. anonymous

i think its either a or b

5. freckles

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

6. anonymous

yeah they do mean the same thing

7. 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

8. anonymous

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

9. freckles

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

10. freckles

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

11. anonymous

no

12. 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?

13. 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

14. freckles

no

15. freckles

0.09 times 0 is 0

16. freckles

0.09 to the 0 power is 1

17. freckles

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

18. 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

19. freckles

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

20. freckles

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

21. freckles

|dw:1441046198584:dw|

22. anonymous

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

23. freckles

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

24. anonymous

is gx the curved one

25. freckles

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

26. freckles

|dw:1441046387153:dw|

27. freckles

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

28. anonymous

px

29. freckles

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

30. anonymous

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

31. freckles

yes

32. anonymous

33. freckles

yes

34. anonymous

ok thanks : )

35. freckles

np