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Lesson 7.2 Inverse of Quadratic and Cubic Functions

Last updated over 1 year ago

9 questions

Note from the author:

I can find inverses of quadratic and cubic functions.

Instructions

I can find inverses of quadratic and cubic functions.

Strictly Algebra

2

2

2

2

2

Pendulum Time

3

2

It's Kinetic

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3

Question 1

1.

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.

Question 2

2.

Determine the inverse of the function,

Question 3

3.

Determine the inverse of the function,

Question 4

4.

Determine the inverse of the function,

Question 5

5.

Determine the inverse of the function,

Question 6

6.

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

Question 7

7.

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

Question 8

8.

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.

Question 9

9.

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?