find the range of ? f(x) = |x| + 3

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f(x) = |x| + 3

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Answer 1 · 2018-03-14T16:15:47

${y \in R ∣ y \geq 3}$ ${y in R | y >= 3}$

The function $y = | x |$ $y=abs(x)$ yields positive values of $y$ $y$ for all values of $x$ $x$ .

Adding $3$ $3$ to this function moves its curve up by $3$ $3$ units.

So, the range becomes all positive values of $y$ $y$ from $3$ $3$ onwards.

This can be mathematically stated as:

$Range of$ $"Range of"$ $f (x) = {y \in R ∣ y \geq 3}$ $f(x)={y in R | y >= 3}$