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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
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What is a math image?
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
Is the set of all values a function will accept as inputs?
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.
Which best describe the domain of a function?
The set of values for which the function is defined.
The set of all possible input values of a function?
Domain The set of all possible results: range.
How do you find the range for a function?
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.
