Checkpoint: Writing Piecewise Functions Solution

Write the piecewise function using the given graph.

$y = \{\begin{cases} - \frac{3}{4} x - 2 & if x \leq 0 \\ \frac{1}{2} x + 1 & if x > 0 \end{cases}$

Note

A complete piecewise function must include the expression for each piece of the graph and the inequality that represents the domain values.

Q: What expression does f (2.5) belong to? Explain.

A: It belongs to $\frac{1}{2} x + 1$ because 2.5 is greater than zero.