[2.3] Piecewise-Defined Functions

Suppose... $$f(x)= \left\{ \begin{array}{ll} 3 &\text{ if } x>2\\ 5 &\text{ if } x\leq 2 \end{array} \right. $$ Graph $f$ on a suitable domain.

Suppose... $$g(x)= \left\{ \begin{array}{ll} 2 &\text{ if } x < 2\\ 4 &\text{ if } x > 0 \end{array} \right. $$ Is $g$ a function?

Suppose... $$h(x)= \left\{ \begin{array}{ll} 7 &\text{ if } x < 1\\ 1 &\text{ if } x > 3 \end{array} \right. $$ Is $h$ a function?

What's the solution of $h(x)=1$?

The absolute value of $x$, denoted by $|x|$, is the distance from the origin to $x$.

Find $|3|$, $|-5|$, and $|0|$.

Graph the absolute value function.

Find a formula for the absolute value function.

What are the domain and the range of the absolute value function?

NOTE TO SELF: The graphing doesn't work in Section 2.3, Question 017