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2 cards from this section. Quick, good the night before a test.
Identify the degree of the function f(x) = 5x^3 - 2x + 6.
Look for the highest power of `x`.
What is the term used for the values where a cubic function intersects the x-axis?
Think of where the graph touches or crosses the x-axis.
What is the highest degree of a cubic function?
Think about the 'degree' in polynomial terms.
True or False: A cubic function can have up to three real roots.
Consider the possible number of x-intercepts.
A company finds that their profit P(x) from the sale of x units of a product can be modeled by the function P(x) = -2x^3 + 12x^2 - 18x. Find the value of x that maximizes their profit.
Use calculus to examine turning and maximum points.
Given the cubic equation f(x) = 3x^3 - 9x^2 + 4, solve for x when f(x) = 0. Confirm the real roots graphically.
Graphing can reveal intersections with the x-axis and confirm solutions.
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