(x + 1, x < 0 f(x) = 0, x = 0 (x² + 1, x>0 Can also be displayed as: x + 1 when x < 0, 0 when x = 0, x² + 1 when x > 0 f(x) = Is f(x) continuous at x = 0? Why or why not? You must show all of your work and reasoning to receive credit. Use the rules of continuity.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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x + 1,
f(x) = 0,
x² + 1,
x>0
Can also be displayed as:
x + 1 when x < 0, 0 when x = 0, x² + 1 when x > 0
f(x)
= [X
°]
Is f(x) continuous at x = 0? Why or why not?
You must show all of your work and reasoning to receive credit. Use the rules of continuity.
x < 0
x = 0
Transcribed Image Text:x + 1, f(x) = 0, x² + 1, x>0 Can also be displayed as: x + 1 when x < 0, 0 when x = 0, x² + 1 when x > 0 f(x) = [X °] Is f(x) continuous at x = 0? Why or why not? You must show all of your work and reasoning to receive credit. Use the rules of continuity. x < 0 x = 0
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