9. a. Sketch the graph of the following function: x + 1, if x < -1 f(x) = -x + 1, if −1≤x< 1 x-2, ifx>1 b. Find all values at which the function is discontinuous. c. Find the limits at those values, if they exist.

9. a. Sketch the graph of the following function: x + 1, if x < -1 f(x) = -x + 1, if −1≤x< 1 x-2, ifx>1 b. Find all values at which the function is discontinuous. c. Find the limits at those values, if they exist.

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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Question

#9 and #10 please

a. lim ƒ(x) = 0.5, ƒ is discontinuous at x = −
b. ƒ(x) = −4 if x < 3, ƒ is an increasing function when x > 3,
lim f(x) = 1
9. a. Sketch the graph of the following function:
x + 1, if x < -1
f(x)
x+l.ff-l<x<]
x − 2, ifx>I
b. Find all values at which the function is discontinuous
c. Find the limits at those values, if they exist.
2.r
10. Determine whether f(x)
is continuous at r
4
11. Consider the function f(x) = ₂
−
a. For what values of x is f discontinuous."
b. At each point where fis discontinuous, determine the limit of f(x), if it exists.
CHAPTER 1

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Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?

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