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Lesson Summary. - A rational function is a function of the form {eq}f (x) = \frac {g (x)} {h (x)} {/eq} - A domain of a rational function is the set of values which independent variable, x, is ...
Steps to Finding the Domain. Step 1. Set the inequality to 0 instead of y or f (x): Step 2. Factor the polynomial completely, then set each factor equal to zero to find the x-intercepts (zeros) of ...
Below are the definitions of the domain and range of a function. The domain of a function is the set of all input values that the function is defined upon. It is all of the values that can be ...
Step 1: Find the domain. To find the domain of a radical function, you will set your radicand to the inequality {eq}\geq 0 {/eq} and solve for x. Thus, you will have {eq}ax+b\geq 0 {/eq} Step 2 ...
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}.
Step 3: Start at the bottom of the graph. Find the range of each of the individual curves that make up the piecewise function. Use the union symbol to join the ranges of the individual curves ...
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 ...
Steps for Finding the Graph, Domain, and Range of a Logarithmic Function. Step 1: Graph the parent function. Step 2: Determine the transformations applied to the parent function from the given ...
Find the domain and range of the graph below. Step 1: The given graph has the parabolic shape for which we are looking. Therefore, we know the domain of the graph/function is {eq}x \in (-\infty ...
What are the domain and range of composite functions?The domain of a function is the set of all acceptable inputs, whereas the range of a function is the set of all possible outputs. In a function ...