SOLUTION: I have tried to get help on this problem for a while and nobody is able to help me. I have 2 different problems, but I post them seperately.
Evaluate the exponential equation f
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Question 232438: I have tried to get help on this problem for a while and nobody is able to help me. I have 2 different problems, but I post them seperately.
Evaluate the exponential equation for three positive values of x, three negaitve values of x, and at x=0. Show all work and please write out the steps on what you are doing so I can learn from it. Use the resulting ordered pairs to plot the graph. State the equation of theline asymptotic to the graph (if any)
Problem:(1/4)^x -3, this is worth 10 ponts out of 30, so if I don't get this I am in trouble. Please help me. If has been 16 years since I've done this and my professor isn't much help.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ \left(\frac{1}{4}\right)^{x-3})
.
Evaluate:
,\,f(2),\,f(1),\,f(0),\,f(-1),\,f(-2),\,f(-3))
I'll do three of these for you:
\ =\ \left(\frac{1}{4}\right)^{(3)-3}\ =\ \left(\frac{1}{4}\right)^{0}\ =\ 1)
.
So the ordered pair is (3, 1)
\ =\ \left(\frac{1}{4}\right)^{(1)-3}\ =\ \left(\frac{1}{4}\right)^{-2}\ =\ 4^2 = 16)
.
So the ordered pair is (1, 16)
\ =\ \left(\frac{1}{4}\right)^{(-2)-3}\ =\ \left(\frac{1}{4}\right)^{-5}\ =\ 4^5 = 1024)
.
So the ordered pair is (-2,1024)
I presume you know how to plot points. Once you have done all the required arithmetic and plotted your set of points, draw a smooth curve. It should look something like this:
Notice that no matter how large you make 
, the value of the function will never be exactly zero. It gets very close, very fast, but never quite makes it. Therefore asymptotic to 
, in other words, to the -axis.
John
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