Back to Relate domain to graph and context — Problem 2 · Task Set 9

HSF.IF.B.5 Tutor Intake — Domain Restrictions, Graphs, and Context

This short check helps your tutor understand where to start. Answer each question on your own. If you are not sure, give your best try — every response helps your tutor plan your sessions.

Grade 9·11 problems·~14 min·Common Core Math - HS Functions·group·hsf-if-b-5

Work through problems with immediate feedback

Procedures

The function $f(x) = \dfrac{\sqrt{x + 1}}{x - 5}$ has two types of
restrictions. Which of the following correctly states its natural domain?

$x \geq -1$ and $x \neq 5$ , written $[-1,\, 5) \cup (5,\, \infty)$

$x > -1$ and $x \neq 5$ , written $(-1,\, 5) \cup (5,\, \infty)$

All reals except $x = 5$ , written $(-\infty,\, 5) \cup (5,\, \infty)$

$x \geq 0$ and $x \neq 5$ , written $[0,\, 5) \cup (5,\, \infty)$