Sketch the following piecewise functions and determine whether each function is continuous for all real numbers. Justify your answers. a. f(x) = x-2 if x ≥ 0 -(x+3) ifx<0

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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6. Sketch the following piecewise functions and determine whether each function is continuous for all real numbers x.
Justify your answers.
x 2
if x ≥ 0
a. f(x) = { ² (x²+3) if x < 0
Transcribed Image Text:6. Sketch the following piecewise functions and determine whether each function is continuous for all real numbers x. Justify your answers. x 2 if x ≥ 0 a. f(x) = { ² (x²+3) if x < 0
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