Question

Determine whether the following equation defines y as a function of x. x squared plus yequals100 Does the equation x squared plus yequals100 define y as a function of​ x?

Answer 1

It sounds like if you want to know if x^2+y = 100 is a function of x. Since we can isolate y to get y = -x^2+100, this means we have a function in terms of x. In other words, y is a function of x. Pick any number you want for x, plug it in for x and evaluate. You'll get exactly one output. The fact that we get exactly one output means that we have a function. 

In a visual sense, graphing the given equation produces what you see in the attached image. Note how it's impossible to draw a vertical line through more than one point on the red curve. Therefore, this graph passes the vertical line test and it means we have a function. 

Side Note: this curve is called a parabola

Answer 2

The given equation defines 'y' as a function of​ 'x'.

What is a function?

A function is a relation between a domain set and the range set. For a value of the function in the domain, there must be a value in the range.

Given equation:

$x^{2} + y = 100$

⇒$y = 100 - x^{2}$

Therefore, it is clear that, for a certain value of 'x' in the domain, there will be a value of 'y' in the range.

Hence, this given equation defines 'y' as a function of​ 'x'.

Learn more about a function here:

https://brainly.com/question/17751442

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