Use the definition to determine whether the following function is continuous and differentiable at x = 2. f(x) = x − 1 for 0 ≤ x < 2 1 for x = 2 2x − 3 for x > 2
Use the definition to determine whether the following function is continuous and differentiable at x = 2. f(x) = x − 1 for 0 ≤ x < 2 1 for x = 2 2x − 3 for x > 2
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 4AGP
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Question
Use the definition to determine whether the following function is continuous and differentiable at x = 2.
f(x) =
x − 1 for 0 ≤ x < 2
1 for x = 2
2x − 3 for x > 2
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