•The root x = 2 has multiplicity 3, so the graph crosses the x-axis at (2,0). •The root x = −2 has multiplicity 4, so the graph touches the x-axis at (−2,0). To take another example, suppose we have the function f(x) = (x − 2)2(x + 1). We can see that the largest power of x is 3, and so the function is a cubic.

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Name: _____ Unit 2: Functions & Their Graphs Date: _____ Per: _____ Homework 7: Graphing Functions Directions: Identify the parent function and transformations from the parent function given each function. Then, graph the function and identify its key characteristics. 1.