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andreev551 [17]
3 years ago
7

Determine if the following relations represent y as a function of x.

Mathematics
1 answer:
lana [24]3 years ago
5 0
<h3>Answers:</h3>
  • A) No, it is not a function
  • B) Yes it's a function
  • C) Not a function
  • D) Yes it's a function
  • E) Yes it's a function

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

Explanation:

If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.

Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.

The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.

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