The input to a function need not be a number, it can be any well defined object. For example, a function might associate the letter A with the number 1, the letter B with the number 2, and so on.
If the inputs and outputs are numbers, then the most obvious examples are the polynomials.
f(x) = x + 1 is a simple example, a function that adds one to the input.
f(1) = 1 + 1 = 2, f(2) = 2 + 1 = 3.
Also, g(x) = 2x is a function that doubles the input.
g(3) = 6, g(4) = 8.
Another example is h(x) = 2x + 1. This doubles the output, and adds 1. The result is that h(1) = 2*1 + 1 = 3, h(2) = 2*2 + 1 = 5.
i(x) = x is another function that does nothing to x. So i(1) = 1, i(2) = 2.
f(x)=x^3+14x^2+63x+90 x=-6 Finding root using the Factor Theorem
The set of all possible second coordinates of the ordered pair ina function is called the image of the function and is often denoted im(f). In other words, the image is all possible outputs of a function
There are two sets for any given function, the domain and the range. The range is the set of outputs and the set of inputs is the domain.
The set of values for which the function is defined.
Domain The set of all possible results: range.
The range of a function is the set of all of the possible values that it can take on as an output value. You find the range by inspecting the function and seeing first what the domain is, and then what the range would be for that domain. The domain, then, is the set of all of the possible values that it can take on as an input value.
The set of all values that a function will return as outputs is called the *range* of the function.
The range is the set of all possible outputs values for the function when given inputs from the domain.
The term that describes the set of all values that a function will accept as outputs is called the "range." The range includes all possible output values that result from applying the function to its domain. It is an important concept in mathematics, particularly in the study of functions and their graphs.
The set of y values for a function is known as the range. It consists of all possible outputs (y values) that the function can produce based on its domain (the set of input values). The range can be determined by analyzing the function's behavior, such as its equations, graphs, or by evaluating specific input values.
RANGE -----> apex
It is generally referred to as "a table of values"
It is a set which is known as the co-domain (or range).
The Range is the set of all possible output values of a function or relation.
The domain of a function is the complete set of possible input values (typically represented as (x)) for which the function is defined. It includes all values that can be substituted into the function without resulting in any mathematical errors, such as division by zero or taking the square root of a negative number. Essentially, the domain encompasses all the valid inputs that yield real outputs for the function.
The set of all possible second coordinates of the ordered pair ina function is called the image of the function and is often denoted im(f). In other words, the image is all possible outputs of a function
There are two sets for any given function, the domain and the range. The range is the set of outputs and the set of inputs is the domain.
The set of values for which the function is defined.