Question

graph 4x^2+4y^2=64. what is the domain and range?

Answer 1

Answer:

domain:  [-4,4]

range:  [-4,4]

Step-by-step explanation:

4x^2+4y^2=64 reduces to:

 x^2 + y^2 = 16  This is a circle with center at (0,0) and radius 4.

x and y are both restricted by the radius, which is 4.

domain:  [-4,4]

range:  [-4,4]

Answer 2

The domain and the range of a function are the set of input and output values the function can take

The domain and the range of $\mathbf{4x^2 + 4y^2 = 64}$ are [-4,4]

The function is given as:

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

See attachment for the graph of $\mathbf{4x^2 + 4y^2 = 64}$

From the attached graph, we have the following highlights

• The graph of $\mathbf{4x^2 + 4y^2 = 64}$ is a circle
• The graph starts from -4 and ends at 4 on the horizontal axis
• The graph starts from -4 and ends at 4 on the vertical axis

This means that the domain of the graph is [-4,4], and the range is [-4,4]

Read more about domain and range at:

https://brainly.com/question/2145599