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)
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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