nd the values of a and b so that fis continuous and has a derivative at x = 1. = = ketch the graph of f. y -6 -2 -4 12 10 8 6 4 2 -2 2 y 12 10 8 6 4 2 4 2 X Do Ⓡ -6 -4 -2 y -2 -6 -8 -10 -12 2 DO -2 y -2 -4 -6 -8 -10 -12 2 4 6 Ⓡ

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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Please help me with this question.
Let
if x ≤ 1
= { 2x²x² +6
lax + b
if x > 1.
Find the values of a and b so that f is continuous and has a derivative at x = 1.
a =
b =
Sketch the graph of f.
y
-4
-2
2
-2
VAN
-4
-6
-8
-10
-12
O
f(x) =
0-6
-2
y
-4
12
10
8
6
4
2
2
y
12
10
8
V
6
4
2
-2
4
2
Ⓡ
-6
-2
y
-2
-4
-6
-8
-10
-12
2
Transcribed Image Text:Let if x ≤ 1 = { 2x²x² +6 lax + b if x > 1. Find the values of a and b so that f is continuous and has a derivative at x = 1. a = b = Sketch the graph of f. y -4 -2 2 -2 VAN -4 -6 -8 -10 -12 O f(x) = 0-6 -2 y -4 12 10 8 6 4 2 2 y 12 10 8 V 6 4 2 -2 4 2 Ⓡ -6 -2 y -2 -4 -6 -8 -10 -12 2
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