An equation is not a function if even one x value produces ____ corresponding y value(s).
one
less than one
more than one
zero for a
my guess is more
and you'd be correct.
But why guess? A brief check on the definition of a function would make it certain.
Your guess is correct. An equation is not a function if even one x value produces more than one corresponding y value. In other words, if there exists at least one x value that maps to multiple y values, then the equation fails to meet the definition of a function.
To determine if an equation is a function, you can follow these steps:
1. Identify the equation. Ensure that it is written in the form y = f(x) or as a set of ordered pairs.
2. Take note of the x-values present in the equation.
3. Substitute each x-value into the equation and solve for the corresponding y-value.
4. Check if any x-values result in multiple y-values. If even a single x-value produces more than one y-value, then the equation is not a function.
5. If all x-values produce unique y-values, then the equation is a function.
Remember, functions require that each x-value has only one corresponding y-value.