Question

What is the domain and range? ex. (-4, infinity) Please this is for a grade

Answer 1

Problem 2

Answers:

Domain = [-2, 2)

Range = {-2, -1, 0, 1, 2}

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Explanation:

The domain is the set of allowed x inputs of a function. We see that the left most point is when x = -2, so -2 is the smallest value allowed in the domain. On the opposite side of the spectrum, we see that x = 2 is the right most value. However, x = 2 is not allowed in the domain because of the open hole here. This is why we use a curved parenthesis for this part. Whereas a square bracket for -2 tells the reader "-2 is part of the domain". The answer you wrote down is very close. Just change the second square bracket to a curved parenthesis.

For the range, we simply have 5 possible y value outputs and they are: -2 -1, 0, 1 or 2. No other y values are possible. Since we have so few items in the range, we just list the values and put them between curly braces to indicate we have a set of values. We cannot do this with the domain as there are infinitely many items in the domain (eg: x = 1.27 and x = 2.339 are in the domain).