This is a critical question..
Why does y=3 represent a function,but x=3 does not...
2,000,000 powers 10
could someone please answer this that knows what their doing...im having trouble in Algebra...i don't need someone to tell me something wrong!!!!!!
because x=3 is not a function because it does not pass the vertical line test...;hope it helped!
because x is an input not an output and is not a function. Thanks hoped it helped.
To understand why y=3 represents a function while x=3 does not, we need to recall the definition of a function.
In mathematics, a function is a relationship between two sets of numbers called the domain and the range, where each element in the domain is associated with a unique element in the range. This means that for each input value, there can only be one corresponding output value.
Now, let's apply this definition to the given equations.
In the equation y=3, the variable "y" represents the output or dependent variable, while the constant value 3 represents the input or independent variable.
Since for every value of x, we have a single value of y (which is always 3), this equation satisfies the definition of a function.
On the other hand, in the equation x=3, the variable "x" represents the input or independent variable, while the constant value 3 represents the output or dependent variable.
If we try to find all possible values of y for different values of x, we see that for every value of x, the output or dependent variable is always 3. This means that there are multiple values of x associated with the same value of y (which is 3).
Thus, the equation x=3 does not satisfy the definition of a function since it violates the requirement that each input (x) should only have one unique output (y).