In these exercises, make reasonable assumptions about the graph of the indicated function outside of the region depicted. For the function g graphed in the accompanying figure, find lim x right 0- g(x) lim x rightarrow 0+ g(x) lim x rightarrow 0 g(x) g(0).

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EXPERT ANSWER

a)

When x = 0, we are talkin about the y-axis

And when they ask us to find the limit as x —> 0(-), we are looking at the value of y when x is approaching 0 from the negative side. Notice that at x = 0, y = 3. Also, when x approaches 0 from the left, the value of y also gets closer and closer to 3. So, the value of this limit is :

3 —> ANSWER

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b) lim x —> 0(+) :

This is when x approaches 0 from the right. Even here, as x approaches 0, y gets closer and closer to 3. So, the value of this limit is :

3 —-> ANSWER

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c) lim x —> 0 :

From parts a and b found , both the left hand limit(part a) and right hand limit (part b) gave us a limit of 3

So, the value of the lim as x —> 0 is also :

3 —–> ANSWER

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d) g(0) :

This is just the value of the function g graphed when x = 0.

Notice that when x = 0 , the graph passes thru 3 on the y-axis

So, when x = 0 , y = 3

So, g(0) = 3 —> ANSWER