The valid values for a given dependent variable y are collectively called the range.
Find domain and range examples.
Find the domain of 1 e 1 x 1 function domain.
For example in the function y f x 2 x y x is independent and y is dependent in other words y is a function of x.
Find the domain and range of the function.
Mathbf color green mathit y sqrt 2 mathit x 3 y 2x 3.
Thus the domain of the function is 2 3 2 3 also the variation in the function output is in the continuous interval from 1 1 to 4.
Find the domain and range of the function f f.
Finding domain and range from a graph.
Enter your queries using plain english.
Y 2 x 3.
Find the domain and range of the function latex f latex whose graph is shown in figure 9.
Add to both sides of the equation.
Here are some examples illustrating how to ask for the domain and range.
Without using a graph.
To avoid ambiguous queries make sure to use parentheses where necessary.
F x x 2 x 2 9 displaystyle f left x right frac sqrt x 2 x 2 9 f x x2 9x 2.
The vertical extent of the graph is 0 to 4 4 so the range is 4 0 4 0.
Domain of log x x 2 1 x 2 1 domain.
The domain is all values of that make the expression defined.
The only problem i have with this function is that i cannot have a negative inside the square root.
Find the domain and range of the radical function the acceptable values under the square root are zero and positive numbers.
Y 4x 8 domain.
Set the denominator in equal to to find where the expression is undefined.
Find the domain and range of the function.
Now the domain of the function is x 5.
We can observe that the horizontal extent of the graph is 3 to 1 so the domain of f f is 3 1 3 1.
Examples of domain and range 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 is all values that x can take on.
The valid values for a given independent variable x are collectively called the domain.
Square root of cos x.
Domain and range tips for entering queries.
We observe that the graph corresponds to a continuous set of input values from 2 2 to 3.
Find the domain and range.