AP Precalculus Review Topics By Michael, Dylan, and Santino

Functions and Transformations

100

The parent function of y=x²?

What is Quadratic?

200

If f(x)=x³, what what does f(x)=x³+3 do to the graph?

Shifts up 3

300

What transformation occurs in y=-lxl

What is a reflection over the x-axis

400

Find the inverse of f(x)=x+5 

What is f^-1(x)=x-5

500

if f(x)=2x-1 and g(x)=x², find g(f(x))

(2x-1)²

Polynomial and Rational Functions

100

Degree of 3x⁴+2x

What is 4?

200

Find both zeros of x² - 9.

What is -3 and 3?

300

What is the end behavior of a positive cubic?

Left: Down Right:Up

400

What is the vertical asymptote of 1/x-2? 

What is x=2

500

solve: x³-8=0

x=2

Exponential and Logarithmic Functions

100

The Inverse of an exponential function

What is Logarithmic?

200

Simplify log(100)

What is 2?

300

What does 2^x =16

What is 4

400

Expand log(ab)

What is log(a) + log(b)

500

Solve:3^x+1=81

3

Trigonometry

100

sin(90) =?

What is 1?

200

What is cos(0)

What is 1

300

What is the period of y=sin(x)?

What is 2π

400

Solve: sinx=0 on the interval (0,2pi)

0,pi, 2pi

500

What is tan45

1

Sequences

100

This type of sequence adds the same number each time.

What is Arithmetic?

200

Find the next term 2,4,8,16...

What is 32

300

Find the Common difference? 7,12,17...

What is 5

400

Write the explicit formula for 3,6,12,24...

a_{n =} 3(2^n-1)

500

Find the 10th term of a_n=2n+1

21