Question

Please help me:

What's the domain?

What's the range?

Is it a function?​

Answer 1

`\displaystyle Yes \\ Range: Set-Builder\:Notation → [f(x)|-2 ≤ f(x) ≤ 4] \\ Interval\:Notation → [-2, 4] \\ \\ Domain: Set-Builder\:Notation → [x|0 ≤ x ≤ 7] \\ Interval\:Notation → [0, 7]`

Explanation:

Just by looking at the graph vertically and horisontally, you can tell what the range and domain is, depending on whether the segments are closed or opened.

* This is a function because it passes the vertical line test.

** This is kind of like a sine wave.

I am joyous to assist you anytime.

Answer 2

• domain: [0, 7]
• range: [-2,4]

Explanation:

The domain is the horizontal extent of the graph. That is from x=0 to x=7.

The range is the vertical extent of the graph. The low point appears to be near y=-2, and the high point appears to be about y=4.

The intervals can be written as ...

domain: [0, 7]

range: [-2, 4]

_____

The curve passes the "vertical line test", so IS A FUNCTION. (It does not intersect any vertical line more than once.)