What is the range and domain of:
y= 4|x|-1

Function: y = 4|x| - 1.

Domain: R (all real numbers).

Range: As we know, the absolute value of x is always a non-negative number:

|x| >= 0

4|x| >= 4 * 0

4|x| >= 0

4|x| - 1 >= -1

y >= -1 < this is the range

I hope this helps. =)

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.