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3 cards from this section. Quick, good the night before a test.
Define a variable for the height of the box if the volume is given by V(x) = x³ - 3x² + 2x.
Think about what the variables represent in the context of volume.
Translate the situation: A box with a cubic volume of 20 can be expressed as?
Think about what the definition of volume is.
What is the first step in solving a word problem involving cubic functions?
Think about what represents the unknown in the word problem.
True or False: The solution of a cubic equation always involves finding three roots.
Recall the nature of cubic functions and their graphs.
A cube has a volume that can be represented by V(x) = x³ - 3x² + x. If the volume is 5, what are the dimensions of this cube?
Check for rational roots first.
Translate and solve: The volume of a tank is represented by V(t) = 3t³ - 24t² + 36t. If we set V = 18, what are the possible heights?
Look for common factors to simplify the problem.
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