Slide 3:
Recall:
The original 3 points for the power function
f(x) = bx (0 , 1)
(1 , b)
(-1 , 1/b) Example: f(x) = (1/5)x (0 , 1)
(1 , 1/5)
(-1 , 5)
Slide 4:
EXAMPLE 1 Recall:
Original 3 points (0 , 1)
(1 , ½)
(-1 , 2)
Slide 5:
EXAMPLE 2 Graph the function. Recall:
Original 3 points (0 , 1)
(1 , ¼ )
(-1 , 4) Now multiply the y values by 2 (0 , 2)
(1 , ½ )
(-1 , 8)
Slide 6:
EXAMPLE 2 Original 3 points (0 , 1)
(1 , 2/5 )
(-1 , 5/2) Now multiply the y values by -3 (0 , -3)
(1 , -6/5 )
(-1 , -15/2)
Slide 7:
GUIDED PRACTICE for Examples 1 and 2 Graph the function. Original 3 points (0 , 1)
(1 , 3/4 )
(-1 , 4/3) Now multiply the y values by -2 (0 , -2)
(1 , -3/2 )
(-1 , -8/3)
Slide 8:
EXAMPLE 3 Original 3 points (0 , 1)
(1 , ½ )
(-1 , 2) Now multiply the y values by 3 (0 , 3)
(1 , 3/2 )
(-1 , 6) Now move the points left 1 and down 2 New asymptote
Slide 9:
EXAMPLE 3 Original 3 points (0 , 1)
(1 , ¼ )
(-1 , 4) Now move the points right 1 and up 1 New asymptote
Homework 7.2 :
Homework 7.2 Pages: 489 – 491
Exs. 4, 6, 8, 10, 12, 16, 20, 24, 37, 38