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You can also email us your homework directly at info homework1. Worried about timely completion of your mathematics homework? Algebra 1 Dressler Algebra 1 Saxon Geometry Carter, et al. Geometry Boyd, et al. Geometry - Concepts and Applications Cummins, et al.
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Intermediate Algebra Miller, et al. Intermediate Algebra Bittinger, et al. In other words, y is a function of x. Because of that, we sometimes see the function written in this form:. Since there's really no significance to y, and it's just an arbitrary letter that represents the output of the function, sometimes it will be written as f x to indicate the the expression is a function of x.
Note that you'll also see it written as g x , h x , and so forth, but f x is the most common because function starts with the letter f. To evaluate a function means to pick different values for the input often named x in order to find the output often named y. In terms of evaluation, for every choice of x that you pick, only one corresponding value of y will be the end result. You'll often be directed to evaluate a particular function for a certain value of x.
That means just plug in that value for x and see what you get, like below:. A function is a unique mapping from the domain the inputs to the range the outputs. There can only be one output for any input. A one-to-one function has a stricter definition than a regular function. Not only does each input map to one and only one output, but each output maps back to one and only one input. Independent variables are the inputs -- we can pick them, so they're independent of the function itself.
Dependent variables are the outputs -- they depend on the function and your selection of the inputs independent variables.
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A function of the type y=f(x)=k where k is a fixed real number.. The graph of the constant function is a straight line parallel to x axis, which is above or below according to k is positive or negative. Math homework help. Hotmath explains math textbook homework problems with step-by-step math answers for algebra, geometry, and calculus. Online tutoring available for math help.
Need math homework help? Select your textbook and enter the page you are working on and we will give you the exact lesson you need to finish your math homework! Introduction to Functions What is a function? A function is a set of mathematical operations performed on one or more inputs (variables) that results in an output.