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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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Related questions
Question
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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