How do you find the domain and range of #y=absx +2#?
Domain of function
Let's start from the definition of an absolute value of any real number.
For positive number or zero its absolute value is the same as a number itself.
For negative number its absolute value is its negation (that is a corresponding positive number).
Using this definition, we see that absolute value is defined for all real numbers, which means that the domain of function
According to definition of absolute value,
From this follows that