# sec15 - Sections 1.3 and 1.5 Use the following table to...

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Sections: 1.3 and 1.5 m > 0 Positive Rising, Increasing Concave up m > 0 Positive Rising, Increasing Concave down Use the following table to decide if the function is increasing, decreasing, concave up, concave down: f ( t ) = 3 5 10 18 30 f ( t ) = 3 10 15 18 20 a) The values are increasing, then the function is increasing or rising. Slope of the tangent line > 0 b) from 3 to 5: increases by 2 from 5 to 10: increases by 5 from 10 to 18: increases by 8 from 18 to 30: increases by 12 It increases in faster and faster rate, then it is Concave Up a) The values are increasing, then the function is increasing or rising. Slope of the tangent line > 0 b) from 3 to 10: increases by 7 from 10 to 15: increases by 5 from 15 to 18: increases by 3 from 18 to 20: increases by 2 It increases in slower and slower rate, then it is Concave Down

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Concave up, Concave down, Increasing, Decreasing m < 0 Negative Falling, Decreasing Concave down Concave up m < 0 Negative Falling, Decreasing Use the following table to decide if the function is increasing, decreasing, concave up, concave down: (notice that the tables are the same as the previous example, but in reverse order) f (
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