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Functions/Inequalities
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Functions/Inequalities

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Portions of a quiz rendered to students in a class that I was assigned to work.

Portions of a quiz rendered to students in a class that I was assigned to work.

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  • 1. Functions/Inequalities The height (h) of a cliff diver above the water t seconds after he jumps modeled by the equation→ h = -16t2 + 72. What is the height above the water of a cliff diver at 1.5 seconds after he jumps? h = -16t2 + 72 h = -16 ·1.52 + 72 (plug in 1.5 for t and multiply -16 x 1.5. Square/raise the product to the second power or multiply the product times itself, the rule of thumb for exponents) h = -242 + 72 (multiply -24 times itself, -24 x -24, not -24 x 2. Add the product to 72) h = 576 + 72 h = 648 *Note: Multiplying two negatives produces a positive A meteorologist sends a moisture probe rocket into a cloud layer. The height (h) the rocket will reach after t seconds is modeled by the equation h = -16t2 + 212t + 2. What will be the height of the rocket after 0.5 seconds? h = -16t2 + 212t + 2 h = -16 · 0.52 + 212 · 0.5 + 2 (plug in 0.5 for t and multiply -16 x 0.5. Square/raise the product to the second power or multiply the product times itself) h = -82 + 106 + 2 (multiply -8 times itself, -8 x -8, not -8x2) h = 64 + 106 + 2 h = 172 What is the value of the function f(x) = x2 - 4x + 6 when x = -5? f(x) = -52 – 4 · -5 + 6 f(x) = 25 – -20 + 6 f(x) = 51
  • 2. The function f(x) = 39x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 5 minutes? f(x) = 39x f(x) = 39·5 f(x) = 195 The function b(n) = 6n represents the number of light bulbs b(n) that are needed for n chandeliers. How many light bulbs are needed for 15 chandeliers? b(n) = 6n b(n) = 6·15 b(n) = 90

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