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Which value of 'a' will make the following function continuous? √x² +a, x<2 2a-x, x≥2 f(x) =< 2 6 None of these given answers 4

Which value of 'a' will make the following function continuous? √x² +a, x<2 2a-x, x≥2 f(x) =< 2 6 None of these given answers 4

Calculus: Early Transcendentals
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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Which value of 'a' will make the following function continuous? f(x) = 2 None of these given answers x² +a, x<2 2a-x, x≥2 Question 16 Which of the following expressions can be used to determine an average rate of change for the function y = f(x) f'(a+h) f(a+h)-f(a) h lim f(a+h)-f(a) h→0 h O f'(a) None of these given answers
Transcribed Image Text:Which value of 'a' will make the following function continuous? f(x) = 2 None of these given answers x² +a, x<2 2a-x, x≥2 Question 16 Which of the following expressions can be used to determine an average rate of change for the function y = f(x) f'(a+h) f(a+h)-f(a) h lim f(a+h)-f(a) h→0 h O f'(a) None of these given answers
Which of the following is not an equivalent way of expressing the term "derivative?" The average rate of change The slope of the curve at a given point The instantaneous rate of change The slope of the tangent None of these given answers Which of the following functions would produce the term is taken? None of the given answers 8 y = x 3 Oy = x= నా || 2|0 ○y=x² wla 5 3 after the derivative
Transcribed Image Text:Which of the following is not an equivalent way of expressing the term "derivative?" The average rate of change The slope of the curve at a given point The instantaneous rate of change The slope of the tangent None of these given answers Which of the following functions would produce the term is taken? None of the given answers 8 y = x 3 Oy = x= నా || 2|0 ○y=x² wla 5 3 after the derivative
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