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[MIMIC]

Actually, I want to ask ALL the questions, but I just want to get started.

OK, this is a function modeling exponential growth or decay. g(x) is given by the formula:

g(x) = Pa^x

Question: If g(0) = 6 and g(4) = 14, what points do you know on the graph of the function g?

I hope it's not like right there in my face (like I suspect it is ).

 

[shattyboombatty]

2 points:
(0, 6)
(4, 14)

...
g(x) = y
so you know what x is, and y is the answer for that x.. blah blah blah, I think you get it by now

 

[MIMIC]

2 points:
(0, 6)
(4, 14)

I hope it's not like right there in my face (like I suspect it is ).

:lol I think too hard. Thanx

 

[Scyn]

My guess would be this(it's been a while):

6=Pa^0

since anything^0 = 1, p = 6/(a^0) => =6/1 => = 6

P=6

and therefore 14=6a^4, 14/6=a^4, a = 1.81

and now looking i think i overthought the problem...

technically you know two points right off the bat.... when x= 0, y=6 and x = 4, y=14

or in coordinate form: (0,6) and (4,14)

what i solved was the unknowns which can give you any point on the graph if you know x or y...

 

[MIMIC]

Thanx.

I've been in total "Der" mode since 12.

 

[MIMIC]

How did you get a = 1.81?

After you get 14/6 = a^4, don't you take the 4th root of 14/6 to get a?

I got 1.24 (rounded).

 

[Scyn]

yeah you're right, i screwed up the calculator calc...

 

[MIMIC]

yeah you're right, i screwed up the calculator calc...

OK. Just makin sure I'm not sleep computing.