<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
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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.
This is a simple right triangle problem.
a^2 + b^2 = c^2
the hypotenuse (or c) is 9 +x
and a is x
And b is 15
So so we sub in the values
x^2 + (15)^2 = (9+x)^2
x^2 + 225 = x^2 + 18x + 81
144 = 18x
8 = x
Answer: 2 < x < 7
Step-by-step explanation:
