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What is the range of the function graphed below?

On a coordinate plane, a graph shows a curve with two points. A solid point is at (1, 3) and an open point is at (4, negative 3).

1 less-than-or-equal-to y less-than 4
Negative 3 less-than y less-than-or-equal-to 3
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3
Negative 3 less-than-or-equal-to y less-than 4

Answer :

Answer:

b

Step-by-step explanation:

The range of function graphed below is Negative 3 less-than y less-than-or-equal-to 3.

What is the Range of the function?

  • The data set of all the outputs is known as the range of the function.
  • It is the set of all the images that contain all the elements of the domain.

Given: On a coordinate plane, a graph shows a curve with two points.

A solid point is at (1, 3).

An open point is at (4, -3).

For a solid point [1, 3]: Boundary points 1 and 3 are included.

⇒ Domain = 1

⇒ Range = 3

For an open point (4, -3): Boundary points 4 and -3 are not included.

⇒ Domain = 4

⇒ Range = -3

The range of the function will be:

Range = (-3, 3]

∴ -3 < y ≤ 3                   (y ∈ real number)

Therefore the range of the graphed function will be, -3 < y ≤ 3 (Negative 3 less-than y less-than-or-equal-to 3).

Hence, the second option is correct.

Learn more about the Range of the function here: https://brainly.com/question/16406473?referrer=searchResults

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