AP Precalculus

Functions

100

What transformation occurs in f(x)=x²+3?

Vertical shift up 3 units

200

Find the domain of f(x) = 1/x-5 

x = 5

300

If f(x)=|x|, what does g(x)=|x-4| do to the graph?

Shifts right 4 units.

400

State whether the function is even, odd, or neither:

f(x)=x³

Odd.

500

A function passes the vertical line test but fails the horizontal line test. What does this mean?

It is a function but not one-to-one.

Polynomial & Rational

100

How many zeros can a cubic polynomial have?

Up to 3.

200

What is the end behavior of:

f(x)=-2x⁴

Both ends go down.

300

Find the vertical asymptote:

f(x)=3/x+2

x = -2

400

Factor completely:

x²-9

(x-3)(x+3)

500

What is the multiplicity of the zero in:

(x-2)³

3

Exponential & Logarithmic

100

Solve: 2³

8.

200

Rewrite in logarithmic form:

10² =100

log(100)=2

300

What is the y-intercept of:

f(x)=3(2)^x

3

400

Simplify:

log(xy)

log x + log y

500

A population doubles every 5 years. Is this linear or exponential growth?

Exponential growth

Trigonometry

100

What is:

sin(90)

1

200

State the period of:

y=sinx

 2pi

300

What quadrant is:

theta = 5pi/4

in?

Quad lll

400

Find: 

tan (pi/4)

1

500

Identify the amplitude of: 

y = 4cosx

4.

Sequences & Probability

100

What type of sequence adds the same number each time?

Arithmetic.

200

Find the next term:

2,4,8,16,_

32.

300

Find the common difference:

7,11,15,19

4.

400

Write the explicit formula:

3,6,12,24

a_n=3(2)^n-1

500

Find the sum:

1+2+3+4+5

15.