Vocab Pc#1

A² + B² = ?

=( a+b) (a - b)

a² + b² is …..

Prime

a² +2ab+ b² =

(a+b)²

a² - 2ab+ b² =

(a-b)²

a³+ b³ =

( a + b) (a² - ab + b²

a³- b³ =

( a - b) (a² + ab + b²)

Domain

Input (x)

Range

Output (y)

Increasing if a < b

f(a) < f(b)

Decreasing if a < b

f(a) > f(b)

Concave Up:

Rate of Change is Increasing

Concave Down

Rate of Change is Decreasing

Average Rate of Change on [a, b] AND SLOPE OF A SECANT LINE

Average Rate of Change = (f(b) - f(a)) / (b - a)