Domain Range And Zeros Of A Function

X 1 0 1.

Domain range and zeros of a function. Set the denominator equal to zero and solve for x. When functions are first introduced you will probably have some simplistic functions and relations to deal with usually being just sets of points. The example below shows two different ways that a function can be represented.

The domain for this particular function is x 2 x 3. These won t be terribly useful or interesting functions and relations but your text wants you to get the idea of what the domain and range of a function are. The range is the resulting y values we get after substituting all the possible x values.

The numerator has a square root. Numbers under this can t be negative see 2 above so you can only have numbers for x greater than or equal to 2. How to find the range.

The domain of a function is the collection of independent variables of x and the range is the collection of dependent variables of y. Find the domain and range of the following function. Set the denominator to zero.

For example 3 2 9 0. You can t have division by zero you can t have 3 3 as this would result in zero. The range of a function is the complete set of all possible resulting values of the dependent variable y usually after we have substituted the domain.

To find the range of a function first find the x value and y value of the vertex using the formula x b 2a. F x 2 x 1 solution. The range is all real values of x except 0.