Write the functions with the given domain and range

Question

Domain $\mathbb{R}$, range the set of reals $\geq k$ where $k$ is a given constant.

Domain = $\{ x \mid x \in \mathbb{R} \}$. How would I write the range?

Answer 1

They have already told you the domain and range. If you're used to seeing the range in set builder notation, it is: $$ \{y \in \Bbb R \mid y \geq k\} $$

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Hint: To come up with a function that has this domain and range, consider a parabola.