Let f : be a function defined by f ( x ) = x 2 + 9 . The range of f is

Question

Let $f : ℝ \to ℝ$ be a function defined by $f (x) = x^{2} + 9$ . The range of $f$ is

Smart Achievers · Accepted Answer

(3)

We have, $f (x) = x^{2} + 9$

The graph of $f (x)$ is the same as the graph of $x^{2}$ shifted up by 9 units.

We know that the range of $g (x) = x^{2}$ is $[0, \infty)$ .

$∴$ Range of $f (x) = x^{2} + 9$ is $[9, \infty)$ .

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