Question 2(a) Let the function f be defined asif x <0if 0 < x < 6.(х — 6)2 ifx >62 + x2f (x) =6 - x(i)Sketch the graph of f .(ii)Evaluate lim f (x) and lim f (x).X→0X→6(iii)Determine whether f is continuous at x = 0 and x = 6.(b) For the function g whose graph is given, state the following.-1(i)lim g(x)X→-00(ii)lim g(x)X→+∞

A function is continuous at x=a if and only if limx→a f(x) = f(a) . limx→a f(x) =L if and only if…

Question 2 (a) Let the function f be defined as 2 + x2 6 - x ((x- 6)² ifx > 6 if x <0 f(x) = if 0 < x < 6. (i) Sketch the graph of f. (ii) Evaluate lim f (x) and lim f (x). (iii) Determine whether f is continuous at x = 0 and x = 6. (b) For the function g whose graph is given, state the following. (i) lim g(x) X→-00 (ii) lim g(x) x+00

Question 2 (a) Let the function f be defined as 2 + x2 6 - x ((x- 6)² ifx > 6 if x <0 f(x) = if 0 < x < 6. (i) Sketch the graph of f. (ii) Evaluate lim f (x) and lim f (x). (iii) Determine whether f is continuous at x = 0 and x = 6. (b) For the function g whose graph is given, state the following. (i) lim g(x) X→-00 (ii) lim g(x) x+00

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 4E

See similar textbooks