44.5k views
2 votes
Please help me:

What's the domain?

What's the range?

Is it a function?​

Please help me: What's the domain? What's the range? Is it a function?​-example-1
User Amit Meena
by
8.1k points

2 Answers

1 vote

Answer:


\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.

User Preynolds
by
7.9k points
5 votes

Answer:

  • 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.)

User Yan Khonski
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.