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5 cards from this section. Quick, good the night before a test.
What is the degree of the polynomial function 𝑓(𝑥) = 2x³ - 3x + 5?
Identify the highest power of x.
How many turning points can a cubic function have?
Think about the changes in direction of the graph.
What is a cubic function?
Recall the definition of degrees in polynomials.
True or False: A cubic function can have at most 3 real roots.
Think about the maximum points of intersection with the x-axis.
Create a cubic function that has roots at x = -1, 2, and 3. Write the function in factored form and expand it to find standard form.
Remember to distribute each factor carefully.
Find the turning points of the function 𝑓(𝑥) = 2x³ - 3x² - 12x + 5 using calculus. What are the coordinates of the turning points?
Calculus involves finding where the derivative is zero for turning points.
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