Finding the Domain and Range of a Graph $\newline$ Determine the Domain and Range for the graph below. Write your answer in Interval Notation and as an Inequality. $\newline$ Notes:To type in the $\leq$ sign, type $<=$ . For example, to enter the Domain $[\cdot 10,10)$ as an inequality, type $-10<=x<10$ $\newline$ To enter All Real Numbers as an interval, respond with $(-\infty, \infty)$ and as an inequality, $-\infty<x<\infty$ . The infinity symbol $\infty$ is made by typing $00$ . $\newline$ Domain written in Interval Notation $\newline$ Domain written as an Inequality $\newline$ $\square$ $\newline$ $\square$ $\newline$ Range written in Interval Notation $\square$

Full solution

Q. Finding the Domain and Range of a Graph

\newline

Determine the Domain and Range for the graph below. Write your answer in Interval Notation and as an Inequality.

\newline

Notes:To type in the

\leq

sign, type

<=

. For example, to enter the Domain

[\cdot 10,10)

as an inequality, type

-10<=x<10

\newline

To enter All Real Numbers as an interval, respond with

(-\infty, \infty)

and as an inequality,

-\infty<x<\infty

. The infinity symbol

\infty

is made by typing

00

\newline

Domain written in Interval Notation

\newline

Domain written as an Inequality

\newline

\square

\newline

\square

\newline

Range written in Interval Notation

\square

Find Domain Range: Look at the graph to find the smallest and largest $x$ -values it includes. This will give us the domain.
Domain in Interval: The graph starts at $x = -8$ and goes all the way to $x = 5$ . So the domain in interval notation is $[-8, 5]$ .
Write Domain Inequality: Now, write the domain as an inequality. That's gonna be $-8\leq x \leq 5$ .
Find Range: Next, we gotta find the range by looking for the lowest and highest $y$ -values on the graph.
Range in Interval: The graph goes from $y = -3$ up to $y = 4$ . So the range in interval notation is $[-3, 4]$ .
Write Range Inequality: Finally, write the range as an inequality. It's $-3\leq y\leq 4$ .