Question

give the center and radius of the circle described by the equation and graph the equation. use the graph to identify the relations domain and range.

\\x^2 + y^2 = 4\\

what is the center of the circle?

the circle is centered at the point \square
(type an ordered pair.)

what is the radius of the circle?

the radius of the circle is \square
(type an integer or a fraction.)

use the graphing tool to graph the circle.

Explanation:

Identify the center and radius of the circle

Using the Standard Form of Circle and Equation of a Circle knowledge points

$$
LATEXBLOCK0
$$

Determine the domain of the relation

Using the Domain and Range of a Circle knowledge point

$$
LATEXBLOCK1
$$

Determine the range of the relation

Using the Domain and Range of a Circle knowledge point

$$
LATEXBLOCK2
$$

Answer:

Question 1

The circle is centered at the point <blank>\((0,0)\)</blank>

Question 2

The radius of the circle is <blank>\(2\)</blank>

Question 3

The domain of the relation is <blank>\([-2, 2]\)</blank>

Question 4

The range of the relation is <blank>\([-2, 2]\)</blank>