- A function $f\colon R\to R$ is continuous if for every $x ∈ R$ and every $ε>0$ there exists a $δ>0$ such that
$|f(y)−f(x)|<ε$ whenever $|y−x|<δ$.
(a) Show that the function $f\colon R \to R$ given by
$$f(x) = 4x − 3$$
I am revising for my exam and I am unable to arrive at the answer. does anyone know how I can tackle this.