Question 605892: Graph the following equations. (clearly label at least 3 points on each graph)
y= log x^2+1
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Graph the following equations. (clearly label at least 3 points on each graph)
y= log x^2+1
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I don't have the means to graph it for you, but I can show you how.
First, you must familiarize your self with the basic log(x) curve.
All log curves regardless of base cross the x-axis at 1, that is at coordinate (1,0)
At x>1, log(x) becomes positive and the curve gradually increases to infinity.
Between 0 < x < 1, log(x) becomes negative and increasingly so as it approaches the y-axis which is an asymptote.
Now, for the given problem:y= log x^2+1
rewrite in different form:
y= 2log(x)+1
The multiplier stretches the basic curve more positive when x>0, and more negative when 0 < x < 1.
The +1 bumps the entire curve one unit up, that all the y-coordinates are increased vertically one unit up. Hope this give you a better understanding of the log curve.
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