Given the information below, what can you conclude about the function? f (2) = -4, lim f (x) = -4, x→2 lim f (x) = 5 x-2+ A) f(x) is continuous at x = 2. B) f(x) has a removable discontinuity at x = 2. C) f(x) has a jump discontinuity at x = 2. D) f(x) has an infinite discontinuity at x = 2.

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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At which value(s) of x will the function be discontinuous?
Зх — 2
f (x) =
2x2 + 7x – 4
O A) x = 2/3
O B) x = 2/3, -4
C) x = 1/2, -4
O D) x = 4, 2
Transcribed Image Text:At which value(s) of x will the function be discontinuous? Зх — 2 f (x) = 2x2 + 7x – 4 O A) x = 2/3 O B) x = 2/3, -4 C) x = 1/2, -4 O D) x = 4, 2
Given the information below, what can you conclude about the function?
f (2) = -4,
lim f (x) = -4,
x→2
lim f (x) = 5
x-2+
A) f(x) is continuous at x = 2.
B) f(x) has a removable discontinuity at x = 2.
C) f(x) has a jump discontinuity at x = 2.
D) f(x) has an infinite discontinuity at x = 2.
Transcribed Image Text:Given the information below, what can you conclude about the function? f (2) = -4, lim f (x) = -4, x→2 lim f (x) = 5 x-2+ A) f(x) is continuous at x = 2. B) f(x) has a removable discontinuity at x = 2. C) f(x) has a jump discontinuity at x = 2. D) f(x) has an infinite discontinuity at x = 2.
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