Help with modulus functions in P2 plzWatch
Just wanted to know how to deal with modulus functions. For example if x<0 and the funtion is y= /x^2-5/+12 how do u find inverse funtion. Also if u have any good modulus questions please post then here.
y = |x^2-5| +12
You can tell that with |x^2 - 5|, the modulus part is only important when it is negative, or when:
x < √5
So when x > √5, just draw the graph y = x^2 + 8, as the modulus function has no effect past this point - it is making an already positive expression positive.
But when x < √5, the (x^2 - 5) part is reflected about the x-axis, then raised by 12 because of the +12 on the end (I think). x^2 will always be positive for real values of x, but when the binomial (x^2 - 5) goes below zero, the modulus makes it positive, therefore whereas if x = 2,
x^2 - 5:
2^2 - 5 = -1
|2^2 - 5| = 1
So instead of being below the y-axis, it will be the same amount above the y-axis. I think,.