f(x): = ax² + x - b, ax + b, 2ax - 7, (a) Find the values of a and b such that f is continuous on the entire real number line. a = b = (b) Evaluate lim f(x). X→ 3 (c) Let g(x) Need Help? Submit Answer = f(x) x - 1 if x ≤ 2 if 2 < x < 5. if x 25 Read It Evaluate lim g(x). X→ 1

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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Let a and b represent real numbers. Define
ax² + x - b,
ax + b,
2ax
f(x):
a =
b =
(a) Find the values of a and b such that f is continuous on the entire real number line.
(c) Let g(x)
-
(b) Evaluate lim f(x).
X→ 3
Need Help?
Submit Answer
7,
=
f(x)
x - 1
if x ≤ 2
if 2 < x < 5.
if x 25
Read It
Evaluate lim g(x).
X→1
Transcribed Image Text:Let a and b represent real numbers. Define ax² + x - b, ax + b, 2ax f(x): a = b = (a) Find the values of a and b such that f is continuous on the entire real number line. (c) Let g(x) - (b) Evaluate lim f(x). X→ 3 Need Help? Submit Answer 7, = f(x) x - 1 if x ≤ 2 if 2 < x < 5. if x 25 Read It Evaluate lim g(x). X→1
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Step 1: Determine the limit of the functions

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