Lesson 7.2 Inverse of Quadratic and Cubic Functions (Alg4)
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Last updated over 1 year ago
10 questions
Note from the author:
I can find inverses of quadratic and cubic functions.
I can find inverses of quadratic and cubic functions.
Pendulum Time
3 points
3
Question 1
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
2 points
2
Question 2
2.
Explain what the period means for a pendulum that is 1 meter long?
Strictly Algebra
2 points
2
Question 3
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.
2 points
2
Question 4
4.
Determine the inverse of the function,
2 points
2
Question 5
5.
Determine the inverse of the function,
2 points
2
Question 6
6.
Determine the inverse of the function,
2 points
2
Question 7
7.
Determine the inverse of the function,
2 points
2
Question 8
8.
Determine the inverse of the function,
It's Kinetic
3 points
3
Question 9
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.
3 points
3
Question 10
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?