9.1 Power Function - Pg. 381: 2,3,6,7,10,13,15,30,37,43 and Pg. 388: 1,2,4,6,17

Lesson 25 - 9.1 # 2 Write in form

Lesson 25 - 9.1 # 3 Write in form

Lesson 25 - 9.1 # 6 Write in form

Lesson 25 - 9.1 # 7 Determine if graph of power function is Even, Odd or fractional powers.

Function is Even (symmetrical about y-axis)

Lesson 25 - 9.1 # 9 Determine if graph of power function is Even, Odd or fractional powers.

Function is Fractional (steeper near origin and flatter away from it)

Lesson 25 - 9.1 # 10 Determine if graph of power function is Even, Odd or fractional powers.

Function is Odd (symmetrical about origin)

Lesson 25 - 9.1 # 13 Find a power function given 2 points: (6, 17) and (1, 2).

Using the form:

(1, y1 ) and (x2 , y2 )

For (1, 2):

Using (6, 17) and k = 2:

So power function is

Lesson 25 - 9.1 # 15 Find formula for inverse proportional function with points (4, 6).

(a) Formula:

Using (4, 6), k is:

So formula is

(b) Find x when y = 8:

Lesson 25 - 9.1 # 30 30 minutes Super Bowl commercial spot in 2002.

Given: (2002, cost = $2 mils for 30 sec) and (1967, cost = same for 22.989 min).

(a) Cost in dollars/sec in 2002 is:

Cost in dollars/sec in 1967 is:

(b) So 2002 cost is

Or 46 times more expensive than in 1967

Lesson 25 - 9.1 # 37 Expanding oil spill in circular form problem - 200 m per hour:

(a) Express radius of spill as power function.

Per hour

(b) Express area of spill as power function

(c) when t = 7, Area is:

Lesson 25 - 9.1 # 37 Kepler's Law .

(a) So , a power function.

When P = 365 and d = 93,000,000

(b) For Jupiter, d = 483,000,000, so