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a) Determine whether the following functions is even, odd or either. i) 1 f(x) = ii) g(1) = r* +31? –1

a) Determine whether the following functions is even, odd or either. i) 1 f(x) = ii) g(1) = r* +31? –1

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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a) Determine whether the following functions is even, odd or either. i) 1 f(x) = ii) g(1) = 1' +312 – 1 b) If f(x) = x-1 and g(x) = 1/(x+1), find the following i) f(g(1/2)) ii) g(g(2)) c) Find the slope of the tangent line to the curve y= 5-x at the point (1,4) by analysing the slope of the secant line through (1,4). Write the equation for the tangent line to the curve at this point. d) Find the limits of the following 5y' +8y? lim y-0 3y* – 16y i) x+3 lim x→2 x+6 ii)
Transcribed Image Text:a) Determine whether the following functions is even, odd or either. i) 1 f(x) = ii) g(1) = 1' +312 – 1 b) If f(x) = x-1 and g(x) = 1/(x+1), find the following i) f(g(1/2)) ii) g(g(2)) c) Find the slope of the tangent line to the curve y= 5-x at the point (1,4) by analysing the slope of the secant line through (1,4). Write the equation for the tangent line to the curve at this point. d) Find the limits of the following 5y' +8y? lim y-0 3y* – 16y i) x+3 lim x→2 x+6 ii)
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