Domain And Range Of Linear Functions Examples

Thus the domain of the function is left 2 3 right also the variation in the function output is in the continuous interval from 1.

Domain and range of linear functions examples. And so let s think about its domain and then we ll think about its range. We observe that the graph corresponds to a continuous set of input values from 2 to 3. We now look at a few examples of domain and range for each type of function below linear absolute parabola hyperbolic cubic circle exponential top half of a circle top half of a parabola etc.

The domain of a function is the collection of independent variables of x and the range is the collection of dependent variables of y. All real y this is a linear function. In the numerator top of this fraction we have a square root.

All real x range. The range of a non horizontal linear function is all real numbers no matter how flat the slope might look. G of x is defined by a a line or the line changes depending what interval of x we re actually in.

All real x range. Find the domain and range of the function f x sqrt x 2 x 2 9 without using a graph. Domain and range exponential and logarithmic fuctions.

To make sure the values under the square root are non negative we can only choose x values grater than or equal to 2. When y equals a constant like y 4 or y 19. This is wonderful because getting a square root of a negative number or a division of zero is not possible with this function.

When you have a function where y equals a constant your graph is a truly horizontal line like the graph below of y 3. So we have a piecewise linear function right over here for different intervals of x. The plot of a function f is shown below.