Question

What is the range of the function f(x) = |x + 4| + 2?

Answer 1

$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

Given:

▪ $\longrightarrow \sf{f(x) = |x + 4| + 2}$

You need to remember that the form of an Absolute Value Function is:

• For the vertex:

$\small\longrightarrow \sf{H= \: \: x -coordinate}$

$\small\longrightarrow \sf{K= y-coordinate}$

• For the definition:

If "a" is positive (+) , then the range of the function is:

$\small\longrightarrow \sf{R:y \: \underline > \: k}$

If "a" is negative (-), the range of the function is:

$\small\longrightarrow \sf{R: y \: \underline < \: k}$

In this case we can identify that:

$\small\longrightarrow \sf{a = 1}$

$\small\longrightarrow\sf{a = 2}$

$\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}$

$\large \bm{R: {f(x) \in ℝ | f(x) \underline > 2}}$