Back to Graph root and piecewise functions — Problem 5 · Task Set 16

Exercises: Graph Square Root, Cube Root, and Piecewise-Defined Functions

Work through each section in order. Show your work where indicated.

Grade 9·21 problems·~30 min·Common Core Math - HS Functions·standard·hsf-if-c-7b

Work through problems with immediate feedback

Fluency Practice

Consider the piecewise function:
$f(x) = \begin{cases} x + 2 & \text{if } x < 1 \\ 4 & \text{if } x \geq 1 \end{cases}$
(a) Evaluate $f(0)$ , $f(1)$ , and $f(3)$ .
(b) Is the function continuous at $x = 1$ ? Explain.
(c) State the domain and range.