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Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture of your work below. √3)= (4x+16,1-52 kx², x ≥ 2 X kx + 14, x<2

Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture of your work below. √3)= (4x+16,1-52 kx², x ≥ 2 X kx + 14, x<2

Calculus: Early Transcendentals
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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Could you please not write in cursive. Also can you show it step by step please.

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Desmos | Scientific... DeltaMath b Lista de propiedade... C Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture of your work below. $ de in 5 X = () O 6 VA 200M LINKS - 2 kx, x ≥ 2 kx + 14, x < 2 Drag n' Drop here or Browse y & 7 u orwarding 8 9
Transcribed Image Text:Desmos | Scientific... DeltaMath b Lista de propiedade... C Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture of your work below. $ de in 5 X = () O 6 VA 200M LINKS - 2 kx, x ≥ 2 kx + 14, x < 2 Drag n' Drop here or Browse y & 7 u orwarding 8 9
Expert Solution
Step 1

Here we have given a continuous function:

f(x)=kx2       : x≥2kx+14 :  x<2

If the given function f(x) is continuous atx=2, then:

⇒f(2+)=f(2-)

⇒k(2)+14=k(2)2 ⇒2k+14=4k⇒14=4k-2k⇒14=2k⇒k=142=7

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