Maths
Grade-10
Easy
Question
Consider the function f(x) = 2Ix + 1I – 7.
A linear function containing one branch of the function is f(x) = 2(x + 1) – 7. What linear function contains the other branch?
- y = 2(-x + 1) – 7
- y = -2x – 9
- y = 2x + 5
- y = -2x – 5
Hint:
When we use absolute value function it is broken down into parts .In one we take the variable in that function greater than 0 in other part we take the variable in that function lesser than 0.
The correct answer is: y = -2x – 9
When x + 1 > 0, f(x) = 2(x + 1) – 7
When x + 1 < 0, f(x) = -2(x + 1) – 7 = -2x – 9
So x + 1 < 0, f(x) = -2(x + 1) – 7 = -2x – 9 is the second part of the function.
Know what an absolute function is.
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