Maths
Grade-10
Easy
Question
For the general function f(x) = aIx – hI + k, what are the two linear functions containing the branches?
- f(x)1 = a(x – h) + k; f(x)2 = a(h – x) + k
- f(x)1 = a(x – h) + k; f(x)2 = -a(h – x) + k
- f(x)1 = -a(x – h) + k; f(x)2 = a(h – x) + k
- f(x)1 = a(x – h) + k; f(x)2 = -a(x + h) + k
Hint:
Two linear functions of an absolute functions are those when the variables of the function are taken negative in first case and when variables of the function are taken positive in the next case.
The correct answer is: f(x)1 = a(x – h) + k; f(x)2 = a(h – x) + k
When x – h > 0,
f(x) = a(x – h) + k
When x – h < 0,
f(x) = -a(x – h) + k = a(h – x) + k
Know the absolute function very well.
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