Which of the following functions are differentiable over their entire domain?
Consider the graph of the function $f\left(x\right)=2x+2$f(x)=2x+2 shown below.
Consider the graph of the function $f\left(x\right)$f(x) | $=$= | $-x^2+4$−x2+4 | when $x\ge0$x≥0 | |
$x^2+4$x2+4 | when $x<0$x<0 |
Consider the graph of the function $f\left(x\right)$f(x) | $=$= | $\frac{x^3-x}{x^2-1}$x3−xx2−1 | when $x\ne\pm1$x≠±1 | |
$1$1 | when $x=-1$x=−1 | |||
$4$4 | when $x=1$x=1 |