Yes, depending on the function. For example, in the function y = x squared, for x-values of both 2 and -2 you get the same y-value.
if the question is why is it labelled as f(x) ? it means the function (the 'f') at a certain x value. saying f(x) is said as 'f at x'. it's the same as saying 'function at x'
(1,2)
Any equation which maps each value of x in the domain to a value in the range is a function of x.
if a function has a unique y value for each x value the function is one to one.
x is a member of the function's domain, y is a member of the function's range.
It means that the value of the function at any point "x" is the same as the value of the function at the negative of "x". The graph of the function is thus symmetrical around the y-axis. Examples of such functions are the absolute value, the cosine function, and the function defined by y = x2.
If the reflection is over the x value, the x-value does not change.
Yes, depending on the function. For example, in the function y = x squared, for x-values of both 2 and -2 you get the same y-value.
That's how "function" is defined. If you have two points with the same x-coordinates, you have a "relation", but not a "function". A function is a special type of relation. The idea of a function is that, for every value of the independent variable (for example, "x"), the dependent variable (for example, "y") is uniquely defined. In other words, you can consider a function as a rule that assigns a y-value uniquely to every x-value.
y = 3
The x value is the first of a coordinate pair and tells you how far from the y axis the point is.
when you have a function lets say y = mx + b then you set it equal to zero and solve you are finding the x values that give you a y value of zero and a y value of zero lies on the x-axis. therefore when you find a zero of a function it's really the x value of where the function touches or crosses the x axis. hope this helps
That is simply a result of the definition of a function. A function is a mapping such that for each value of x there is only one value of y.
if the question is why is it labelled as f(x) ? it means the function (the 'f') at a certain x value. saying f(x) is said as 'f at x'. it's the same as saying 'function at x'
A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.
Any equation which maps each value of x in the domain to a value in the range is a function of x.