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

Which statement correctly compares the parent functions $y = \sqrt{x}$ and $y = \sqrt[3]{x}$ ?

Both have domain $[0, \infty)$ and range $[0, \infty)$ .

$y = \sqrt{x}$ has domain $[0, \infty)$ ; $y = \sqrt[3]{x}$ has domain $(-\infty, \infty)$ .

Both graphs pass through the origin but only $y = \sqrt{x}$ is always increasing.

$y = \sqrt[3]{x}$ has domain $[0, \infty)$ and $y = \sqrt{x}$ has domain $(-\infty, \infty)$ .