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- Say where each function is concave up and where it is concave down, or say that it is neither.f(x) = 6(0.7)^xg(x) = 4x - 3x^2h(x) = 9 - 5xk(x) = \dfrac{1}{2}x^2 - 8x + 1p(x) = 2x^3 - 12x^2 + 7
- Jin takes a loaf of bread out of the oven and records the temperature at its center every 5 minutes.
- During a storm, Sofia reads the total rainfall in her rain gauge.
- Omar says that $g
- Let $f
- Let $f
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The free lesson teaches it with worked examples and practice problems.
Concavity: when the rate of change itself changes: the lesson ›More Chapter 1 worksheets: Functions in depth: rate of change, end behavior and asymptotes
- 1.1Degree, end behavior and the shape of a polynomial graph
- 1.2Graphing polynomial functions
- 1.3Graphing rational functions
- 1.4The difference quotient
- 1.5Rates at an instant from shrinking intervals
- 1.6Concavity: when the rate of change itself changes
- 1.7Slant asymptotes
- 1.8Polynomial and rational inequalities with sign charts