ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2

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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5. Choose ONE of the following two options. Clearly indicate your choice.
ax? + с,
x <-2
a) Given f(x) = {bx + 8, - 2< x < 3, determine the values of a, b, and c if:
x2 3
-2c,
lim f(x) = f(-2)
x--2
• The slope of the tangent line at x = -3 is – 12 (Note: for full marks, you must use limits to
determine the tangent line slope.)
OR
b) Evaluate lim
(x+2)5 -1
(*Hint: you will need to use two different simplification techniques)
x-1 V8-x - 3
Transcribed Image Text:5. Choose ONE of the following two options. Clearly indicate your choice. ax? + с, x <-2 a) Given f(x) = {bx + 8, - 2< x < 3, determine the values of a, b, and c if: x2 3 -2c, lim f(x) = f(-2) x--2 • The slope of the tangent line at x = -3 is – 12 (Note: for full marks, you must use limits to determine the tangent line slope.) OR b) Evaluate lim (x+2)5 -1 (*Hint: you will need to use two different simplification techniques) x-1 V8-x - 3
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