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Zolol [24]
3 years ago
9

Which equation does not represent a function? A) y = 2x + 3 B) x = 4y + 7 C) 6x - 5y = 8 D) y2 = -5x - 8

Mathematics
2 answers:
yulyashka [42]3 years ago
6 0

Answer:

D) y2 = -5x - 8

Step-by-step explanation:

A function is a rule between two sets A and B so that each element of set A (Domain) corresponds to a single element of set B (Range). Mathematically they can be expressed as:

f: A\rightarrow B\\\\a\rightarrow b =f(a)

So:

y^2=-5x-8\\\\y=\pm \sqrt{-5x-8}

Isn't a function because the elements of the domain don't corresponds to a single element of the range.

We can see this in an easier way using the vertical line test, which is a visual way to determine if a curve is a graph of a function or not. If a vertical line intersects a curve in an xy plane more than once, then for a value of x the curve has more than one value of y, and then the curve does not represent a function.    

I attached you the graphs, so you can corroborate the results visually.

marin [14]3 years ago
4 0
D. It is not a function because there are multiple outputs for one input. 
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