Is this a function and what's the domain and range. thanks!

Mathematics

2 answers:

kiruha [24]3 years ago

8 0

This is not a function. Why not? Because it fails the vertical line test. The input x = 3 leads to more than one output (eg: y = 1, y = 2, y = 3). A function is only possible if each input leads to exactly one output.

Domain = {3} so basically x is only allowed to be x = 3.

Range = set of y values such that y is between 1 and 5 (including both endpoints. As a compound inequality, the range is written as $1 \le y \le 5$

fenix001 [56]3 years ago

6 0

The domain is the x coordinates (input) and the Y is the range , (output). Hope this helps. :)

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2. Graph x < 8 and x > -1.

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Answer:

I'll try my best in explaining the steps.

Considering both signs are greater than and less than sign, its an open circle.

For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.

For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.

Step-by-step explanation: