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3 cards from this section. Quick, good the night before a test.
Define an increasing function.
Think about how the function behaves as x increases.
What does it mean for a function to be decreasing?
Imagine the slope of the function.
A function is increasing on an interval if:
Think about the direction of the graph.
Maxima occur where:
Consider the first derivative test.
A farmer wants to fence a rectangular area of 500 m² using only 200 m of fencing. What dimensions will maximize the area?
Set up an equation with area and perimeter constraints.
For the function f(x) = x^4 - 12x^2 + 36, determine the global maximum and minimum on [-3, 3].
Check both endpoints and critical points around the interval.
5 more questions in this section. Enroll free to practise them all.
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