Determine whether the function is continuous at the given point c. If the function is not continuous, determine whether the discontinuity is removable or nonremovable. X 9) f(x) ; c=10 X-10 A) Discontinuous; removable, define f(10) = 10 C) Discontinuous; nonremovable Find numbers a and b, or k, so that f is continuous at every point. 10) f(x) = { 4x + 7, if x <-4 kx + 10, if x ≥ -4 A) k = 1 B) k=- 5 N/O B) Discontinuous; removable, define f(10) = 20 D) Continuous C) k=- 19 4 D) k = 5 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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Determine whether the function is continuous at the given point c. If the function is not continuous, determine whether
the discontinuity is removable or nonremovable.
X
9) f(x) =
x-10'
= 10
A) Discontinuous; removable, define f(10) = 10
C) Discontinuous; nonremovable
f(x) = {
-; C =
Find numbers a and b, or k, so that f is continuous at every point.
10)
4x + 7, if x < -4
A) k = 1
kx + 10, if x ≥ −4
B) k=
102
-5232
B) Discontinuous; removable, define f(10) = 20
D) Continuous
C) k
19
D) k
5214
Transcribed Image Text:Determine whether the function is continuous at the given point c. If the function is not continuous, determine whether the discontinuity is removable or nonremovable. X 9) f(x) = x-10' = 10 A) Discontinuous; removable, define f(10) = 10 C) Discontinuous; nonremovable f(x) = { -; C = Find numbers a and b, or k, so that f is continuous at every point. 10) 4x + 7, if x < -4 A) k = 1 kx + 10, if x ≥ −4 B) k= 102 -5232 B) Discontinuous; removable, define f(10) = 20 D) Continuous C) k 19 D) k 5214
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