Power Functions

Domain and Range of Odd Power Functions

Domain (-∞,∞) Range(-∞,∞)

What quadrant does odd power function start and end ?

Odd power functions start at quadrant 3 and end in Quadrant 1

What is a turning point?

Where the function changes from decreasing to increasing or increasing to decreasing

Domain and Range of Even Degree Power Functions

Domain (-∞,∞) Range [0,∞)

Minimum number of zeroes for even degrees function

0

What is a Power Function?

A Power Function is the most simple form of a polynomial

Minimum number of zeroes for odd degree function?

1

What is a polynomial?

A polynomial is an expression of terms combined by +,- and exponents greater than or equal to 0

What is the maximum turning points for odd degree function

0 and every even number until degree minus 1

What is the maximum number of turning points for even degree function ?

1 and every odd number till degree minus 1

What Quadrant do even power functions start and end ?

Even Power Functions start at Quadrant 2 and end in Quadrant 1

What quadrant does even power functions with negative coefficients start and end?

Start in quadrant 3 and end in quadrant 4

What quadrant does odd power functions with negative coefficients start and end?

Start in Quadrant 2 and end in Quadrant 4

What is the formula for power function?

A^n X^n

What is the transformation equation?

(x/k+d,ay+c)

What are the zeroes for even power functions?

0 and every number till number equals degree value

What are the zeroes for odd power functions?

1 and every number till number equals degree value