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Question 1037167: hi there, I really need help :(
My question is as follows:
sketch the graph of the given function, f(x) = x − 2 over 3. State the domain of the function, identify any intercepts and test for symmetry.
I really appreciate any help, thank you!
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! f(x) = (x-2) / 3
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Here is the graph of the line
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The domain is all real numbers
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The x intercept is 2 and the y intercept is -2/3
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1) symetry about the x axis means if (a,b) is on the graph then (a,-b) is on the graph
2) symetry about the y axis means if (a,b) is on the graph then (-a,b) is on the graph
3) symetry about the origin means if (a,b) is on the graph then (-a,-b) is on the graph
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Now we test our function
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(8,2) is on our graph, since (8-2) / 3 = 2
1) is (8,-2) on the graph, -2 = (x-2) / 3 then x = -4
No symetry about the x axis
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2) is (-8,2) on the graph, y = (-8-2) / 3 = -10/3
No symetry about the y axis
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3) is (-8,-2) on our graph
No symetry about the origin
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