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anonymous
 one year ago
PreCalculus exponential functions help?
anonymous
 one year ago
PreCalculus exponential functions help?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0make an x/y table to get points and plot

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443201477463:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0where did the 1/4 and 1/2 come from?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[2^{1} = \frac{ 1 }{ 2^1 }=\frac{ 1 }{ 2 }\]\[2^{2}=\frac{ 1 }{ 2^2 }=\frac{ 1 }{ 4 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So what do I do with the points from the table then? Plot them?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But that table was only for 2^x, right? I still need a table for 2^x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know your transformations?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what if g(x) = f(x) what is g compared to f? in other words, g is what transformation of f?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0very good! so f(x) = 2^x and g(x) = 2^(x) hint, hint, wink, wink... if you know one and you understand transformations, you really know both

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so after I graph 2^x, then I just reflect it about the y axis for the graph of 2^x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So they're exponential functions because they increase or decrease exponentially?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes but where is the variable x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't understand what you mean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(f\left(x\right) = y = 2^x\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x is in the exponent

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and that's what is changing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thus an "exponential" function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what if we're given the graph and need to find the function? (I have an example)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0http://www.purplemath.com/modules/expofcns.htm exponential functions are also characterized by multiplying in a recursive relation... \[f(x)=2^x=2\cdot 2^{x1}=2\cdot f(x1)\] so if you have a graph, divide f(x)/f(x1) to find the base

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do we know what f(x) is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(2) = 9, what is f(1)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that's what it looks like to me... so f(2)/f(1) = base

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay, then what's the exponent part?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(1) = 2 < this one is not correct f(2) = 9 f(0) = 1 it's 2 tick marks but how much is each tick mark?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I thought it showed that each mark is 1...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if you ask me, f(1) = 3 look closely at the spacing of the vertical tick marks. the first tick is about half of the subsequent ticks

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there are 5 marks to 9... 1 + 2 + 2 + 2 + 2 = 9

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0besides (9/2)^1 = 9/2 \(\ne\) 2 and (9/2)^2 = 81/4 \(\ne\) 9
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