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jok3333 [9.3K]
3 years ago
7

Which of the following relations is a function?

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer & Step-by-step explanation:

The definition of a function is that every input, x, must have only one output, y. So, for every x value, there should be only one y value with it. If you have two x values that are the same and have different y values, then that is not a function. The only answer that showcases this is letter D.

<em>1 → 2</em>

<em>2 → 3</em>

<em>3 → 4</em>

<em>4 → 5</em>

In this function, every input has one output and each x value is different.

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The area of a rectangle is expressed as x4 - 9y2. What are the possible dimensions of the rectangle?
AnnyKZ [126]

This is a stupid question.  The teacher who asked this needs to go back to school.

A = x⁴ - 9y²

That's going to be a number.  As long as it's positive we can choose any length for our rectangle L and we can compute the width by W=A/L.   So the correct answer is the dimensions are L by  (x⁴ - 9y²)/L.

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We use the difference of two squares, a²-b² = (a+b)(a-b)

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