Find k so that the function is continuous on any

ni3s4otqc

ni3s4otqc

Answered question

2021-12-05

Find k so that the function is continuous on any interval.
f(x)={kx0x23x22x

Answer & Explanation

Phisecome

Phisecome

Beginner2021-12-06Added 18 answers

f(x)={kx0x23x22x
Given function is continuous in the given interval
When x approaches 2 from the left, function is defined as f(x)=kx
f(2)=2k
When x approaches 2 from the right, function is defined as f(x)=3x2
f(2)=3×22=12
Since the function f(x) is continuous, we can say the left and right limit of function at x=2 is equal
2k=12
k=6
Result:
k=6

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