SOLUTION: i need to graph this equation. i have no idea how to graph letters. please help me. g(x)=(x-3)^-4

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Question 399376: i need to graph this equation. i have no idea how to graph letters. please help me. g(x)=(x-3)^-4
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
g(x)=(x-3)^-4
Write it
y = (x-3)^-4
We can get rid of the neg exponent by using the reciprocal
y =
You can see as the value approaches x=3, the value of y will increase tremendously.
We know y will be positive, an even numbered exponent takes care of that
Choose values for x:
x = 1
y =
y =
y =
Graph points 1, 1/16
x = 2
y =
y =
y = 1
Graph points 2, 1
x = 2.5
y =
y =
y =
y = 16
Graph points 2.5, 16
Skip x=3, division by 0, the graph will have a hole there
x=3.5
y =
y =
y =
Graph points 3.5, 16
x=4
y =
y =
y =
y = 1
Graph points 4, 1
:
Looks something like this:

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