What is the largest possible domain of a function?

Assuming that we want to stick to real numbers, that means that the maximal domain is (−∞,0)∪(0,∞) . The above answer assumes that the values of x and y are limited to the real numbers.

How do we find the range of a function?

Overall, the steps for algebraically finding the range of a function are:

1. Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
2. Find the domain of g(y), and this will be the range of f(x).
3. If you can’t seem to solve for x, then try graphing the function to find the range.

What does domain and range mean?

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

What is domain and range example?

Consider the relation {(0,7),(0,8),(1,7),(1,8),(1,9),(2,10)} . Here, the relation is given as a set of ordered pairs. The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} .

What is the domain and range of a reciprocal function?

Reciprocal is also called as the multiplicative inverse. The reciprocal function y = 1/x has the domain as the set of all real numbers except 0 and the range is also the set of all real numbers except 0.

What is domain vs range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

What is an example of domain and range in math?

For example, the function x2 x 2 takes the reals (domain) to the non-negative reals (range). The sine function takes the reals (domain) to the closed interval [−1,1] [ − 1, 1] (range). (Both of these functions can be extended so that their domains are the complex numbers, and the ranges change as well.)

What is the largest domain of F with an integer?

Solution: For x 2 x 2 to be an integer, x must be an even integer. Thus, the largest possible domain of f is the set of all even integers. Note.

What is the range of a function?

The values taken by the function are collectively referred to as the range. For example, the function x2 x 2 takes the reals (domain) to the non-negative reals (range). The sine function takes the reals (domain) to the closed interval [−1,1] [ − 1, 1] (range).

What is the domain of the function f?

This means that the domain of f is R −{1,2} R − { 1, 2 } . Solution: The input variable y must only take on such values for which the expression under the square root sign is non-negative, otherwise the function g will generate non-real values.Thus, we have: