Question

math multiple choice questions:What is the minimum value of the function f(x) = |x+3|-2 ? (1)-2 (2) 2 (3) 3 (4) -3

Answer 1

Since the function f(x) has an expression inside the 'absolute value' operator, the minimum value this expression (|x + 3|) can have is 0, because it can never be equal a negative value.

So if the expression |x + 3| has a minimum value of 0, we have that the minimum value of f(x) is:

`\begin{gathered} f(x)=|x+3|-2_{} \\ f(-3)=0-2_{} \\ f(-3)=-2 \end{gathered}`

Therefore the correct option is the first one (1).