CCM 2 Unit 4: Advanced Functions Review Name:______

CCM 2 Unit 4: Advanced Functions ReviewName:______

1. True or False:

a) When a number is added outsidethe radical, the graph shifts left.

b) If I add a number outside a greatest integer function, the graph vertically stretches.

2. The graph of f(x) = will be translated 4 units down and 1 units to the right.

Write the function that models this transformation.

3. The volume, V, of a certain gas varies inversely with the amount of pressure, P, placed on it. The volume of this gas is 123 cm3 when 4.1 kg/cm2 of pressure is placed on it.

a) What is the constant of variation?

b) What is the inverse variation equation that models this scenario?

c) What is the volume when 2.4 kg/cm2 of pressure placed on it?

4. The number of revolutions made by a tire traveling over a fixed distance varies inversely to the radius of the tire. A 12-inch radius tire makes 100 revolutions to travel a certain distance. How many revolutions would a 16-inch radius tire require to travel the same distance?

5. Write an equation for the translation of that has the asymptotes x = 2 and y =3.

6. What are the asymptotes of the function

Horizontal asymptote: Vertical asymptote:

7. Solve each of the following. Be sure to check for excluded values!

a. b.

8. Graph the following functions:

a. b) graph

10. Use the piecewise function above to Evaluate:

a.f (-5) =______b. f (8) = ______

c.f (1) = ______d.f (-1) = ______

11. Water is draining from a tank maintained by the Yorkville Fire Department. Students measured the depth of the water in 15-second intervals and recorded the results in the accompanying table.

a) Write the power regression model for this data.

b) Using your regression model find the depth of the water at 100 seconds.