Question

The graph of a function f is given. Determine whether f is continuous on its domain. continuous not continuous If it is not continuous on its domain, say why. The graph is continuous on its domain. lim x->2 f(x) != f(2) The graph has discontinuities at the end points. lim x->2+ f(x) != lim x->2- f(x), so lim x->2 f(x) does not exist.

          The graph of a function f is given.
Determine whether f is continuous on its domain.
continuous
not continuous
If it is not continuous on its domain, say why.
The graph is continuous on its domain.
lim x->2 f(x) != f(2)
The graph has discontinuities at the end points.
lim x->2+ f(x) != lim x->2- f(x), so lim x->2 f(x) does not exist.

The graph of a function f is given.
Determine whether f is continuous on its domain.
continuous
not continuous
If it is not continuous on its domain, say why.
The graph is continuous on its domain.
lim x->2 f(x) != f(2)
The graph has discontinuities at the end points.
lim x->2+ f(x) != lim x->2- f(x), so lim x->2 f(x) does not exist.

Added by Vivian L.

Finite Mathematics and Applied Calculus

Stefan Waner, Steven Costenoble 5th Edition

Chapter 10

Instant Answer

Solved by Expert Andrew Noble

07/14/2023

Step 1

A function is continuous at a point if the limit of the function as x approaches that point from both sides is equal to the value of the function at that point. In this case, we are given that \( \lim _{x \rightarrow 2} f(x) \neq f(2) \). This means that the Show more…

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