AP Precalculus Review - Stars

Unit 1

1

The roots of p(x) = x³ - 3x² + 4

What are -1 and 2?

2

Describe the transformation of h(x) = 2(x-3)² + 6

What are the vertical dilation by scale of 2, vertical translation up by 6, and horizontal translation right by 3.

3

The vertical asymptote(s) for (x-7)/(x² - 5x - 14)

What is x = -2?

4

Behavior of the rate of change of a ball thrown upwards as a function of time.

What is decreasing?

5

The sign of a residual if the prediction is an underestimate of the actual value

What is negative?

Unit 2

1

The range of the exponential function g(x) = 2.5^x+2 - 10

What is (-10, infinity)?

2

The domain of the function 2ln(-x + 3) + 4

What is (-inf, 3)?

3

The inverse of the function f(x)=log₆(x+8)

What is 6^x - 8?

4

Function to describe the population of bacteria after t years, if the population triples every 6 years with an initial amount of 200

What is 200(3)^t/6 ?

5

Given an exponential model of the form y = ab^x, this transformed linear model appears as a straight line on a semi-log graph.

What is y = log(b)x + log(a)?

Unit 3

1

The double angle identity for cosine

What is cos²x - sin²x ?

2

The period for the function f(x) = -2cos(4(x+3)) + 7

What is pi/2?

3

A single trigonometric function equivalent to sin²(x)csc(x)cot(x)

What is cos(x)?

4

The number of petals for the polar graph r = 6sin(4theta)

What is 8?

5

The cartesian coordinates corresponding to the polar coordinates (4, 3pi/4)

What is (-2rad(2), 2rad(2))?

Double Star

1

The degree of the polynomial based on the rate of change

What are differences?

2

In a piecewise function, the algebraic method can be used to check for continuity between two equations on an overlapping x-value

What is setting the equations equal?

3

The value of a+b if f(x) = 2x + 7 and g(x) = ax - b are inverses of each other

What is 4?

4

In the xy-plane, angle B is an angle in standard position with its terminal ray in Quadrant I. The value of cos(2B) is this, if sin(B) = 0.8 and cos(B) = 0.6

What is (0.6)² - (0.8)²?

5

The polar function r = -sin(theta) is graphed in the polar coordinate system for the interval [0, pi]. The maximum distance between the point and the origin is this, and it occurs at this angle.

What is a maximum distance of 1 at theta = pi/2?

Teacher Facts

1

Mr. Kim is currently attending this college to get his credentials

What is CSUN?

2

Ms. Lin's two cats are named after

What is a dictionary?

3

Mr. Kim's favorite baseball team has a game today at 4:15pm.

Who are the Dodgers?

4

The most unexpected thing Ms. Lin ever learned.

What is saying the alphabet backwards?

5

Ms. Lin's biggest pet peeve

What is punctuality?