![]() ![]() You will see the behavior of the function is linear (multiplicity of 1) along with the graph through the intercept. Set each factor equal to zero, then find the x-intercepts at x = -2 and x = 3. Step 3: After getting the y-intercept, to find the x-intercept, determine the value when the numerator of the function is zero. Evaluate the function at zero to get the y-intercept as shown,į (0) = (0 + 2) (0 – 3)/(0 + 1) 2 (0 – 2)= 3. Since the function is already factored, it saves your first step. Step 1: The first step to sketch the graph is to factor the function. Solution: You can follow the steps to sketch the graph for the following function: Let us learn graphing simple rational functions via an example.Įxample: Sketch a graph for the function, f (x) = (x + 2) (x – 3)/(x + 1) 2 (x -2).
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