Power functions

Power functions
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Power functions
You need your Ipad and notebook

Slide 1 - Diapositive

Today
  • Start (5 min)
  • New subject (15 min)
  • Bettermarks (15 min)
  • Second part presentation (15 min)
  • Bettermarks (25 min)
  • End lesson (5 min)

Slide 2 - Diapositive

Power functions
y=2x4
y=x19
y=3x6
y=0.25x7

Slide 3 - Diapositive

Note 13.4 Power functions
Formula:
     is called the coefficient and       the exponent


y=axn
a
n

Slide 4 - Diapositive

Geogebra

Slide 5 - Diapositive

Note 13.4 Power functions
timer
3:00

Slide 6 - Diapositive


A
a is positive, n is even
B
a is positivey, n is odd
C
a is negative, n is even
D
a is negative, n is odd

Slide 7 - Quiz

Note 13.4 Power functions
If a graph is streched in the y direction, the graph moves towards the y-axis
If a graph is compressed in the y direction, it moves away from the y-axis
Streched: 
Compressed: 
a>1
a<1
timer
2:30

Slide 8 - Diapositive

f is .... in comparison to g
A
Compressed
B
Streched

Slide 9 - Quiz

Bettermarks
  • Work on 13.4
  • 15 min
  • Raise your finger if you have any questions or when you're finished
  • Communicate in English please
timer
5:00

Slide 10 - Diapositive

Second part
Go to LessonUp, you need your notebook

Slide 11 - Diapositive

Solving power equations
x2=25

Slide 12 - Diapositive

Solving power equations
x3=8

Slide 13 - Diapositive

Solving power equations
x7=52

Slide 14 - Diapositive

Solving power equations
x7=52
x=752

Slide 15 - Diapositive

Solving power equations
x7=52
x=752

Slide 16 - Diapositive

Solving power equations
x7=52
x=752
x  1.76

Slide 17 - Diapositive

Note 13.4: Solving power equations
If the exponent is even, there are 0, 1 or 2 solutions
If it's odd, there is 1 solution



                             or 
                      or
4x8+3=57
4x8=54
x8=13.5
x  1.38
x  1.38
x=813.5
x=813.5
timer
3:00

Slide 18 - Diapositive

Solving power equations
x2=81
x5=81

Slide 19 - Diapositive

Bettermarks
  • Work on 13.4
  • Until the end of the lesson
  • Raise your finger if you have any questions or when you're finished
  • Communicate in English please

Slide 20 - Diapositive