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  2. Domain & Range of Rational Functions | Definition & Graph

    study.com/academy/lesson/analyzing-the-graph-of-a-rational-function-asymptotes...

    - To find the range of the function, first, interchange variables x and y, solve for y and find the domain of the new function. When answering the question, make sure to write the answer in terms ...

  3. How to Find the Intercepts, Asymptotes, Domain, & Range from the...

    study.com/skill/learn/how-to-find-the-intercepts-asymptotes-domain-range-from...

    Domain and Range: The domain of a function is the set of all possible inputs {eq}x {/eq} for the function. The range of a function is the set of all possible outputs {eq}y {/eq}.

  4. Domain & Range of a Function | Definition, Equation & Examples

    study.com/academy/lesson/what-is-domain-and-range-in-a-function.html

    Therefore, to find the domain and range, analyze the domain and ranges of the different pieces. The Piecewise Function The piecewise function is a unique example of a function created by combining ...

  5. Finding the Domain & Range of Radical Functions - Study.com

    study.com/skill/learn/finding-the-domain-range-of-radical-functions...

    Step 2: Find the range. To find the range, look at the c-value of the equation.. Step 3: Write the final answer in interval notation or inequality notation. Important Note: Anytime you multiply or ...

  6. How to Find the Domain & Range from the Graph of a Quadratic...

    study.com/skill/learn/how-to-find-the-domain-range-from-the-graph-of-a...

    Finding the Domain and Range from the Graph of a Quadratic Function. Step 1: Find the domain by examining the graph from left to right. The domain includes all {eq}x {/eq}-values that are ...

  7. Finding the Domain & Range of Functions with Inequalities

    study.com/academy/lesson/finding-the-domain-range-of-functions-with...

    Range is the set of all y values, the dependent quantity, that will result from substituting all x values (the domain) into the function. So the range of f(x) = 2x + 3 is also all real numbers ...

  8. How to Get the Domain and Range from the Graph of a Piecewise...

    study.com/skill/learn/how-to-get-the-domain-and-range-from-the-graph-of-a...

    Steps for How to Get the Domain and Range from the Graph of Piecewise Function. Step 1: Start at the far left side of the graph. Find the domain of each of the individual curves that make up the ...

  9. How to Find the Domain and the Range from a Graph of a Rational...

    study.com/skill/learn/how-to-find-the-domain-range-from-a-graph-of-a-rational...

    Find the domain and range of {eq}f(x) = \dfrac{x^2}{x^2 - 9} {/eq} using the graph below. Graph for Example 2 Step 1: Determine the domain by examining the graph from left to right.

  10. Finding Domain & Range from the Graph of a Continuous Function -...

    study.com/skill/learn/finding-domain-range-from-the-graph-of-a-continuous...

    Finding the Domain & Range from the Graph of a Continuous Function. Step 1: To find the domain of the function, look at the graph, and determine the largest interval of {eq}x {/eq}-values for ...

  11. Determining the Domain & Range of Combined Functions

    study.com/skill/learn/determining-the-domain-range-of-combined-functions...

    Therefore, we conclude that the domain of the combined function {eq}g\left(x\right) =x^2 -3 {/eq} is equal to the set of all real numbers, and the range of the combined function is equal to the ...