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Lesson 7.2 Inverse of Quadratic and Cubic Functions (Alg4)

Last updated almost 2 years ago

10 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

I can find inverses of quadratic and cubic functions.

Akwankyerɛ

I can find inverses of quadratic and cubic functions.

Pendulum Time

3

2

Strictly Algebra

2

2

2

2

2

2

It's Kinetic

3

3

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1.

The period of a pendulum is how long it takes it to complete a full back-and- forth swing. Because a pendulum’s period depends only on its length for a given gravitational strength, pendulums have long been used to keep time in clocks. On Earth’s surface, the length l (in meters) of a pendulum with a period of T seconds is modeled by,
Find a model
for the period of a pendulum of a given length.a

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2.

Explain what the period means for a pendulum that is 1 meter long?

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3.

For the function f(x) defined by the given set of ordered pairs, determine a restricted domain on f(x) for an inverse function,
that contains the most possible ordered pairs. Then show the ordered pairs of the inverse function.

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4.

Determine the inverse of the function,

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5.

Determine the inverse of the function,

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6.

Determine the inverse of the function,

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7.

Determine the inverse of the function,

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8.

Determine the inverse of the function,

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9.

The kinetic energy of an object is the energy it has due to its motion. The kinetic energy E (in joules) of an object with a mass of m kilograms moving at v meters per second is modeled by the function,
Find a model v(E) for the velocity of an object with mass m and kinetic energy E.

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10.

A top-speed professional baseball pitch can have a kinetic energy of 150 joules, while a professional bowling ball may impact the pins with a kinetic energy of 250 joules. The mass of a baseball is 0.149 kg. The mass of a bowling ball is 7.3 kg. How do the speeds of the baseball and bowling ball compare?