IMathAS-libretexts

The graph of $\displaystyle {f}$ is given below:

Answer the following questions about the graph of $\displaystyle {f}$ based on its graph above.

A) State the domain of

\displaystyle {f}

.

B) State the

\displaystyle {x}

-values over which

\displaystyle {f}

is continuous.

C) State the

\displaystyle {x}

âˆ’values over which

\displaystyle {f}

is differentiable.

D) State the

\displaystyle {x}

-values where

\displaystyle {f}

may have a vertical tangent line.

E) State the

\displaystyle {x}

âˆ’values where

\displaystyle {f}

has horizontal tangent lines.