Find the value of constants c and d that make the function below continuous at x = 7. Sx² - 3x x < 7 x = 7 x > 7 f(x) = d + x Step 1 of 6 Recall the definition of continuity. A function f(x) is continuous at a number a if lim f(x) = F(a) f(a) Xa In order to make f(x) continuous at x = 7, we must find c and d such that lim f(x) = F(7) f(7). X7 Step 2 of 6 In order for lim f(x) to exist, we must have lim f(x) = lim f(x). x-7+ X-7 Find lim f(x). lim f(x) lim x2 - 3x %3D X-7 x-7 Submit Skip (you cannot come back)

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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Tutorial Exercise
Find the value of constants c and d that make the function below continuous at x = 7.
- 3x
x < 7
f(x) = {
X = 7
X + p
x > 7
Step 1 of 6
Recall the definition of continuity. A function f(x) is continuous at a number a if
lim f(x) = F(a)
f(a)
In order to make f(x) continuous at x = 7, we must find c and d such that lim f(x) = f(7)
f(7)
X→7
Step 2 of 6
In order for lim f(x) to exist, we must have
lim f(x) =
lim f(x)·
X-7
X→7+
Find lim f(x).
lim f(x)
lim x2 - 3x
X→7-
X→7-
Submit
Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise Find the value of constants c and d that make the function below continuous at x = 7. - 3x x < 7 f(x) = { X = 7 X + p x > 7 Step 1 of 6 Recall the definition of continuity. A function f(x) is continuous at a number a if lim f(x) = F(a) f(a) In order to make f(x) continuous at x = 7, we must find c and d such that lim f(x) = f(7) f(7) X→7 Step 2 of 6 In order for lim f(x) to exist, we must have lim f(x) = lim f(x)· X-7 X→7+ Find lim f(x). lim f(x) lim x2 - 3x X→7- X→7- Submit Skip (you cannot come back)
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