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Evaluating Functions

Evaluating Functions. Algebra One. The final skill to learn in this function unit is to evaluate function equations. .

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Evaluating Functions

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  1. Evaluating Functions Algebra One

  2. The final skill to learn in this function unit is to evaluate function equations. First – some information about using function notation. Remember we use “f(x)”. If you are asked to evaluate a function equation for a specific “x” such as x = 3, you will be asked to find f(3). Notice that instead of f(x) there is now a 3 where the x was. That means you should replace the “x” in the equation with a “3” and find the answer using order of operations.

  3. Examples Ex 1: Ex 2:

  4. Launching A Rocket: A rocket is launched from 180 feet above the ground at time t = 0. The function that models this situation is given by: H(t) = – 16t2 + 96t + 180, where the height of the rocket in feet is a function of the time that has gone by in seconds. Evaluate for H(2) H(7.5) H(10)

  5. Speed of a Whirlpool – a naturally occurring whirlpool in the Strait of Messina, a channel between Sicily and the Italian mainland, is about 6 feet across at its center, and is said to be large enough to swallow small fishing boats. The speed, S, (in feet per second), of the water in the whirlpool is a function of the radius (in feet) of the whirlpool. This relationship can be modeled with the function equation S (r) = .

  6. Speed of a Whirlpool –The speed, S, (in feet per second), of the water in the whirlpool is a function of the radius (in feet) of the whirlpool. S (r) = . Evaluate this function for the following radii. • S (3) • S (30) • S (1/2) • S (0) • S (-5)

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