The function $f:\mathbb{R} o\mathbb{R}$ given by $f(x) = 2x + 3$ is:

Question

The function $f:\mathbb{R}	o\mathbb{R}$ given by $f(x) = 2x + 3$ is:

Accepted Answer

D. both one-one and onto (bijective)

A non-constant linear map f(x)=2x+3 on ℝ is strictly increasing (one-one) and covers all reals (onto) — hence bijective.

Answer

onto but not one-one

Answer

neither one-one nor onto

Answer

one-one but not onto

The function $f:\mathbb{R}\to\mathbb{R}$ given by $f(x) = 2x + 3$ is: