Find the Domain y=|x+1|+3

Problem

y=|x+1|+3

Solution

1. Identify the type of function. The given expression is an absolute value function.

2. Determine if there are any restrictions on the input variable x In an absolute value function of the form y=|ƒ(x)|+k the expression inside the absolute value, x+1 is a polynomial.

3. Check for division by zero or square roots of negative numbers. Since there are no denominators containing x and no even-indexed roots, there are no values of x that make the expression undefined.

4. Conclude that the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!