College Algebra, Chapter 3, 3.3, Section 3.3, Problem 4

a.) A function value $f(a)$ is a local maximum value of $f$ if $f(a)$ is the $\underline{\text{highest}}$ value of $f$ on some interval containing $a$. From the graph of $f$ we see that one local maximum value of $f$ is $\underline{7}$ and that this value occurs when $x$ is $\underline{2}$.

b.) A function value $f(a)$ is a local minimum value of $f$ if $f(a)$ is the $\underline{\text{lowest}}$ value of $f$ on some interval containing $a$. From the graph of $f$ we see that one local minimum value of $f$ is $\underline{2}$ and that this value occurs when $x$ is $\underline{4}$.