Exam: 03.03 Polynomial Transformations

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Without using technology, describe the end behavior of f(x) = −3x4 + 7x2 − 12x + 13

Down on the left, down on the right

Determine whether the function f(x) = 3x4 is even or odd

The function is even because f(−x) = f(x)

Determine whether the function shown in the graph is even or odd

The function is even because it is symmetric with respect to the y-axis.

How does the graph of g(x) = (x − 3)3 + 4 compare to the parent function f(x) = x3

g(x) is shifted 3 units to the right and 4 units up


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