Will give metal!

The functions p(x) and g(x) are shown below:

g(x) = 9x
p(x) = 9x

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 9.

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

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

Question

Will give metal!

The functions p(x) and g(x) are shown below:

g(x) = 9x
p(x) = 9x

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 9.

 The graph of g(x) will eventually exceed the graph of p(x).

 The graph of p(x) will eventually exceed the graph of g(x).

anonymous · Answer

Is there a typo in your equations?

happyfeet8040 · Answer

No :/

anonymous · Answer

There was. You meant p(x) = 9^x. What type of equation is g(x)? What about p(x)?

happyfeet8040 · Answer

Oh, my apologies.

happyfeet8040 · Answer

Kinda thought it was self-explanatory.

anonymous · Answer

So what type of equation is g(x)? p(x)?

happyfeet8040 · Answer

Not sure....

anonymous · Answer

g(x) is a linear equation, since as x increases, y increases proportionally to x. p(x) is an exponential equation. That means as x increases, p(x) increases exponentially. For example, if x = -1, g(-1) = -9 and p(-1) = 1/9. If x = 2, g(2) = 18 and p(2) = 81. As you can see, this means that p(x) will grow larger much faster than g(x) as x increases.

anonymous · Answer

Also, what is the value of g(0) and p(0)?

happyfeet8040 · Answer

The value of p(0) is 1 I think.. Im not good in math at all sorry

anonymous · Answer

If the equation is $$p(0) = 9 ^ 0$$, then what is p(0)? What is the value of any number raised to the zeroth power?

happyfeet8040 · Answer

Any number raised to the power of 0 is 1

anonymous · Answer

What is g(0)? Answering this should eliminate two of your possible answers.

happyfeet8040 · Answer

1?

anonymous · Answer

$$g(0) = 9 * 0$$ What is g(0)?

happyfeet8040 · Answer

Oh, 0?

happyfeet8040 · Answer

@dcabeche

anonymous · Answer

Therefore, which two answers can we eliminate? Also, since p(x) grows much large much quicker than g(x) as x increases, which choice is the only possible answer?

happyfeet8040 · Answer

C?

anonymous · Answer

D. Since p(x) grows much faster than g(x), that means that p(x) will overtake g(x).

happyfeet8040 · Answer

Ohhh, okay.

happyfeet8040 · Answer

I get it, thank you so much. I gave you a medal

anonymous · Answer

The equation of g(x) will look like this |dw:1408514699639:dw| And p(x) will look like this |dw:1408514732317:dw|

happyfeet8040 · Answer

Ohh, okay. Thank you :)))

anonymous · Answer

No problem