1 A function g is defined by x<1 g(x)={x+1, (x-4)° +5, x24 18x<4 Sketch the graph of y = g(x). (a) Find lim g(x), lim g(x) and g(1). Is g(x) continuous at x= 1? (h) Find lim g(x), lim g(x) and g(4). Is g(x) continuous at x = 4?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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1 A function g is defined by
x²,
sed by t
x<1
15x<4
nd k is am
e is at lea
g(x)={x+1,
|(x-4)° +5, x24
Sketch the graph of y = g(x).
(a) Find lim g(x), lim g(x) and g(1). Is g(x) continuous at x = 1?
d when k-
(b) Find lim g(x), lim g(x) and g(4). Is g(x) continuous at x = 4?
posite sigs
1 thu:
Transcribed Image Text:1 A function g is defined by x², sed by t x<1 15x<4 nd k is am e is at lea g(x)={x+1, |(x-4)° +5, x24 Sketch the graph of y = g(x). (a) Find lim g(x), lim g(x) and g(1). Is g(x) continuous at x = 1? d when k- (b) Find lim g(x), lim g(x) and g(4). Is g(x) continuous at x = 4? posite sigs 1 thu:
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