5C AND D

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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5C AND D
5. Let
f(x) =
with the value of f(1) to be determined.
(a) Compute lim f(x) in terms of k.
x→1-
(b) Compute lim f(x) in terms of k.
I→1+
(2-kx
k + x
(c) Find the values of k and f(1) that make f(x) continuous at x = 1.
JUN
5
(d) Using the choice of k and f(1) in part (c), make a graph of y = f(x) for 0 ≤ x ≤ 2.
000
999
8
tv
if x < 1,
if x > 1
MacBook Air
AA
F9
Transcribed Image Text:5. Let f(x) = with the value of f(1) to be determined. (a) Compute lim f(x) in terms of k. x→1- (b) Compute lim f(x) in terms of k. I→1+ (2-kx k + x (c) Find the values of k and f(1) that make f(x) continuous at x = 1. JUN 5 (d) Using the choice of k and f(1) in part (c), make a graph of y = f(x) for 0 ≤ x ≤ 2. 000 999 8 tv if x < 1, if x > 1 MacBook Air AA F9
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