domain and range with examples step by step.
Answers
Step-by-step explanation:
1. Determine the type of function you’re working with.
2. Write the domain with proper notation.
For example, a domain of [-2, 10) U (10, 2] includes -2 and 2, but does not include number 10.
3. Draw a graph of the quadratic equation.
4. Set the denominator equal to zero, if it’s a fraction.
5. Set the terms inside the radical to be greater than or equal to zero, if there’s a root function.
6. Confirm that you have a quadratic function.
7. Find the x-value of the vertex of the function.
8. Calculate the y-value of the vertex of the function.
9. Determine the direction of the parabola by plugging in at least one more x-value.
10. Write the range with proper notation.
11. Graph the function.
12. Find the minimum of the function.
13. Determine the maximum of the function.
14. Write the range with proper notation.
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Domain and Range
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
(In grammar school, you probably called the domain the replacement set and the range the solution set. They may also have been called the input and output of the function.)
Example 1:
Consider the function shown in the diagram.
Here, the domain is the set {A,B,C,E} . D is not in the domain, since the function is not defined for D .
The range is the set {1,3,4} . 2 is not in the range, since there is no letter in the domain that gets mapped to 2
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