Question

CAN SOMEONE PLS TELL ME DOMAIN AND RANGE

Answer 1

Hello,

Step-by-step explanation:

Domain(f)= ]-4;3]= -4<x≤3

Rang(f)=]-5;5]=y€R

Answer 2

Answers:

• Domain is (-4, 3]
• Range is (-5, 5]

=====================================================

Step-by-step explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that
`-4 < x \le 3`. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval
`-4 < x \le 3` then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

--------------------------------------------------

The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is
`-5 < y \le 5`. This condenses into the shorthand of (-5, 5] which is the range in interval notation.

Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.