Assuming that y is a function of x, that follows from the definition of a function. For each x-value, there can only be one y-value. The definition of a function is that (in this case), for every value of "x", a value of "y" can be calculated unambiguously. In the more general case, for every combination of the independent variables, a single value for the dependent variable can be calculated unambiguously.
explain why a function has at most one y-intercept
There is no slope nor intercept because there is no equation, simply an expression.
A graph is represents a function if for every value x, there is at most one value of y = f(x).
One to one functions on a graph can vary. To determine if a function is one to one, a horizontal line can only intersect the function once. If it intersects the function more than once, it is not a one to one function.
For a 2-dimensional graph if there is any value of x for which there are more than one values of the graph, then it is not a function. Equivalently, any vertical line can intersect the a function at most once.
explain why a function has at most one y-intercept
There is no slope nor intercept because there is no equation, simply an expression.
If by the top function, you mean the most commonly used one, that is probably the SUM function.
It shows the relationship of y in terms of x. [y = (yIntercept) + ((slope)*(x))] [slope = (y2 - y1)/(x2 - x1)]
One function. A enzyme is particular about it's substrate, so the enzyme can catalyze one reaction by lowering that reaction's activation energy.
You can write it either in standard form (ax + by = c) or in slope-intercept form (y = mx + b)
no it won't In fact a function can NEVER be vertical. Not only that, it cannot loop back so that two (or more) points are above one another. For a function, there can be at most one y-value for any x-value so any vertical line will intersect the function at most once.
Without the inclusion of an equality sign and not knowing the plus or minus values of the given terms it can't be considered to be a straight line equation
The function of most DNA is to build and maintain an organism.
A graph is represents a function if for every value x, there is at most one value of y = f(x).
The SUM function would be the most commonly used function in Excel.
The function of the lungs in a fetal animal is to supply oxygen. This is considered to be one of the most hard working organs in the body.