Chapter 9.3, Problem 33E

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Given the graph of y = f ( x ) in Figure 9.27, determine for which x-values A, B, C, D, or E the function is (a) continuous. (b) differentiable.

(a)

To determine

The values of x out of A,B,C,D,E for which the function is continuous in the figure.

Explanation

Given Information:

The graph is given as;

Explanation:

The graph is given as;

For a function to be continuous at a point, the left-hand limit should be equal to right hand limit and its value must be the value of the function at that point.

In case of graph, continuity of the left hand and right-hand limit is observed when the graph is continuous at the given point...

(b)

To determine

The values of x out of A,B,C,D,E for which the function is differentiable in the figure.

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