Question

2. Consider the following function. f(x) = x2 + 9     if x ≤ 1 5x2 −...

2.

Consider the following function.

f(x) =

x2 + 9     if x ≤ 1
5x2 − 1     if x > 1

Find each value. (If an answer does not exist, enter DNE.)

f(1)=

lim x→1 f(x)

=

lim x→1+ f(x)

=

Determine whether the function is continuous or discontinuous at x = 1.

Examine the three conditions in the definition of continuity.

The function is continuous at x = 1.?

or

The function is discontinuous at x = 1. ?

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