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4 cards from this section. Quick, good the night before a test.
Identify if the function f(x) = x² + 4 is increasing or decreasing.
Consider the value of 2x for any x.
Determine the critical points for the function f(x) = -x² + 6x.
Find the first derivative and set it to zero.
What indicates that a function is increasing over an interval?
Think about the sign of the derivative.
True or False: A function can have both local maxima and local minima.
Consider examples of different function shapes.
A business finds its profit function is represented by P(x) = -x² + 10x. Determine the number of units x that maximizes profit.
Find the vertex of the quadratic function.
Explore how the optimization problem changes if the perimeter of a rectangle is increased to 30m. What dimensions yield the maximum area?
Use the perimeter equation to set up the area equation.
5 more questions in this section. Enroll free to practise them all.
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