Answer Point discontinuity Explanation Given information: y = x 2 − 1 x + 1 Calculation: Let y = f ( x ) . Substitute different values of x and evaluate the respective value of y to create a table of values as shown below. x y − 5 − 6 − 4 − 5 − 3 − 4 − 2 − 3 − 1 Undefined 0 − 1 1 0 2 1 3 2 4 3 5 4 Since the function is undefined at x = − 1 , thus it has point discontinuity. Now plot the points on the graph and mark a circle to show point of discontinuity and then join them. The graph of the function with discontinuity at x = − 1 is shown below.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 5.1, Problem 73E

To determine

To state:whether the graph of given function has infinite discontinuity, jump discontinuity, or point discontinuity, or is continuous; and then graph the function.

Expert Solution & Answer

Answer to Problem 73E

Point discontinuity

Explanation of Solution

Given information:

y=x2−1x+1

Calculation:

Let y=f(x) . Substitute different values of x and evaluate the respective value of y to create a table of values as shown below.

x	y
−5	−6
−4	−5
−3	−4
−2	−3
−1	Undefined
0	−1
1	0
2	1
3	2
4	3
5	4

Since the function is undefined at x=−1 , thus it has point discontinuity. Now plot the points on the graph and mark a circle to show point of discontinuity and then join them.

The graph of the function with discontinuity at x=−1 is shown below.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.1, Problem 73E

Chapter 5.1, Problem 72E

Chapter 5.1, Problem 74E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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