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Question

If f(x)={x2+2,x0
x2+158,x>0,
then

A
f(x) is increases at x1
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B
x=0 is a point of local maximum of f(x)
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C
x=0 is a point of discontinuity of f(x)
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D
x=0 is not an extrema of f(x)
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Solution

The correct options are
A x=0 is a point of discontinuity of f(x)
B f(x) is increases at x1
By graph we can see that is is increasing function when x>0.
Also at x=0, function f(x) is discontinous.
but, we can not find maximum or minimum values at x=0. Because at that point the graph is discontinous.

1026844_1055212_ans_b904768b361b43f586a4eceb1419427e.png

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