Question

Graph 4x2+4y2=64. What are the domain and range?

Answer 1

ANSWER

EXPLANATION

The given equation is

$4 {x}^{2} + 4 {y}^{2} = 64$

We divide through by 4 to obtain;

${x}^{2} + {y}^{2} = 16$

This can again be written as:

${x}^{2} + {y}^{2} = {4}^{2}$

This is the equation of a circle centered at the origin with radius 4 units.

The graph is shown in the attachment.

Answer 2

Answer:

Domain: [-4,4]

Range : [-4,4]

Step-by-step explanation:

Given equation is $4x^2+4y^2=64$.

Now we need to graph and find about what are domain and range of the given problem.

$4x^2+4y^2=64$

divide both sides by 4

$x^2+y^2=16$

$x^2+y^2=4^2$

Which looks similar to the formula of circle

$x^2+y^2=r^2$

that means it is a circle with radius 4. whose centre is at the origin.

From graph we can easily see that

Domain: [-4,4]

Range : [-4,4]