Respuesta :

Answer:

  • domain: [0, 7]
  • range: [-2,4]

Step-by-step 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.)

Answer:

[tex]\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][/tex]

Step-by-step 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.

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