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Vocabulary for Finding the Intercepts, Asymptotes, Domain, and Range From the Graph of a Rational Function Intercepts: The {eq}x {/eq}-intercept(s) are points at which the graph of the function ...
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 & 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 ...
The domain of this "flipped" function is the range of the original function. In this example, interchanging the variables x and y yields {eq}x = \frac{1}{y^2} {/eq} Solving this equation for y gives
Finding domain and range from a graph can be accomplished by imagining the graph getting squished down to either the x- or the y-axis, respectively. Whatever parts of the axis the graph has been ...
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 ...
Finding the Domain & Range from the Graph of a Discrete Relation Example. Using the graph of the relation G given below, determine the domain and range of G. Write your answers using set notation.
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 ...
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 ...
Find the domain and range from the graph of {eq}g(x) = 2\left(4\right)^{x-2} +6 {/eq} shown below. Give your answer using set notation. Step 1: Set up the domain as all real numbers. This will be ...