4. a. Find the values of x, if any, at which g(x) = sin x is continuous. 8-V-36 x²-4 if x < 2 x-2 b. A function is defined as f(x) = if 2< x< 3 if x2 3 ax? - bx + 3 2х— а +b find constants a and b such that the function is continuous everywhere. Sx? +5 if x<1, lx+10 if x >1 c. b. Show that f (x) = is continuous but not differentiable at x = 1. Sketch the graph of f(x).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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esin x
4. a. Find the values of x, if any, at which g(x) =
is continuous.
8-Vx2-36
x2-4
if x < 2
x-2
b. A function is defined as f(x) =
if 2 < x< 3
if x 2 3
ax? – bx + 3
2х - а + b
find constants a and b such that the function is continuous everywhere.
c. b. Show that f(x) =
fx² + 5 if x < 1
lx + 10 if x > 1
is continuous but not differentiable
at x = 1. Sketch the graph of f(x).
Transcribed Image Text:esin x 4. a. Find the values of x, if any, at which g(x) = is continuous. 8-Vx2-36 x2-4 if x < 2 x-2 b. A function is defined as f(x) = if 2 < x< 3 if x 2 3 ax? – bx + 3 2х - а + b find constants a and b such that the function is continuous everywhere. c. b. Show that f(x) = fx² + 5 if x < 1 lx + 10 if x > 1 is continuous but not differentiable at x = 1. Sketch the graph of f(x).
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