- 3x² + if x < 1 Let g(x)= a if x = 1 - 2x+5 if x > 1 a. Determine the value of a for which g is continuous from the left at 1. b. Determine the value of a for which g is continuous from the right at 1. c. Is there a value of a for which g is continuous at 1? a. The value of a for which g is continuous from the left at 1 is (Simplify your answer.) b. The value of a for which g is continuous from the right at 1 is (Simplify your answer.) c. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. When a = g is continuous at 1 because lim g(x)= and lim g(x) = + 2x

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.1: Relations And Functions
Problem 76PS
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- 3x² + 2x if x < 1
Let g(x) =
a
if x = 1.
- 2x + 5
if x > 1
a. Determine the value of a for which g is continuous from the left at 1.
b. Determine the value of a for which g is continuous from the right at 1.
c. Is there a value of a for which g is continuous at 1?
a. The value of a for which g is continuous from the left at 1 is
(Simplify your answer.)
b. The value of a for which g is continuous from the right at 1 is
(Simplify your answer.)
c. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. When a=
g is continuous at 1 because lim g(x)= and lim g(x) =
1
www
Transcribed Image Text:- 3x² + 2x if x < 1 Let g(x) = a if x = 1. - 2x + 5 if x > 1 a. Determine the value of a for which g is continuous from the left at 1. b. Determine the value of a for which g is continuous from the right at 1. c. Is there a value of a for which g is continuous at 1? a. The value of a for which g is continuous from the left at 1 is (Simplify your answer.) b. The value of a for which g is continuous from the right at 1 is (Simplify your answer.) c. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. When a= g is continuous at 1 because lim g(x)= and lim g(x) = 1 www
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