3. a. Sketch the following functions. Determine whether the function is continuous or discontinuous. State the value(s) of x where there is discontinuity. Justify your answers. (x, x≤-4 f(x) = 5, -4 < x≤3 (x² - 4, x>3 b. (3x+1, x < -1 f(x) = {2-x², x>-1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3.
a.
Sketch the following functions. Determine whether the function is continuous or discontinuous.
State the value(s) of x where there is discontinuity. Justify your answers.
(x, x≤ -4
f(x) = 5, -4 < x≤ 3
(x²-4, x > 3
4
b.
(3x +1, x < -1
f(x) = {2-x², x>-1
Transcribed Image Text:3. a. Sketch the following functions. Determine whether the function is continuous or discontinuous. State the value(s) of x where there is discontinuity. Justify your answers. (x, x≤ -4 f(x) = 5, -4 < x≤ 3 (x²-4, x > 3 4 b. (3x +1, x < -1 f(x) = {2-x², x>-1
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