How To Determine Domain And Range

Learn to determine the domain and range of a function from its graph with Khan Academy's educational video. Given the graph of a function, determine its domain or range. Determine the domain and range of the function f of x is equal to 3x squared plus 6x minus 2.

So, the domain of the function is: what is a set of all of the valid inputs, or all of the valid x values for this function? And, I can take any real number, square it, multiply it by 3, then add 6 times that real number and then subtract 2 from it. Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function.

For example, the domain of f(x)=x is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited. Given exponential functions of the form f (x) = ab^x, determine and represent the domain and range of this function using inequalities.

Determine the domain of a function according to the algebraic limitations of that function. I understand finding the range of a function, but I'm still confused about how to find the domain. Using the first function from the example, what would be the domain and how would you find it?

The range of a function is the set of all possible outputs the function can produce. Some functions (like linear functions) can have a range of all real numbers, but lots of functions have a more limited set of possible outputs. The domain is the set of values that get "plugged into" the function (the inputs) while the range is the set of values that the function assumes/produces after "going through the function".

Learn how to determine reasonable range values for real-world situations. The range represents all possible outputs (or dependent values) that make sense in context. Then decide whether the range should be continuous or discrete, depending on what the function models.