Please answer PART B!!THANK YOU Consider the functionx<-1-3f(x) = ax² + b3-1

The function then we have to answer the…

Answered: Consider the function x<-1 -3 f(x) =…

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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Question

Please answer PART B!! THANK YOU

Consider the function
x<-1
-3
f(x) = ax² + b
3
-1<x<2
X≥2
a. Find the values of a and b that will mak
the f(x) continuous on the entire number
line
Show all your work.
b. Draw the graph of f(x) with the values
you found on part (a) to verify that the f(x)
is continuous on the entire number line (2

Expert Solution

Step 1: Given,

The function

$f left parenthesis x right parenthesis equals open curly brackets table row cell negative 3 comma space space space space space space space space space space space space space space space space space space x less than negative 1 end cell row cell a x squared plus b comma space minus 1 less or equal than x less than 2 end cell row cell 3 comma space space space space space space space space space space space space space space space space space space space space space x greater or equal than 2 end cell end table close$

then we have to answer the following...