Power functions

• Wiskunde
• Middelbare school
• havo
• Leerjaar 3

Power functions

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Today

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

Power functions

y=2x​4​​

y=x​19​​

y=−3x​6​​

y=−0.25x​7​​

Note 13.4 Power functions

Formula:

     is called the coefficient and       the exponent

y=ax​n​​

a

n

Geogebra

Note 13.4 Power functions

1. a is positive, n is even
2. a is positivey, n is odd
3. a is negative, n is even
4. a is negative, n is odd

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

f is .... in comparison to g

1. Compressed
2. Streched

Bettermarks

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

Second part

Go to LessonUp, you need your notebook

Solving power equations

x​2​​=25

Solving power equations

x​3​​=8

Solving power equations

x​7​​=52

Solving power equations

x​7​​=52

x=​7​​√​52​​​

Solving power equations

x​7​​=52

x=​7​​√​52​​​

Solving power equations

x​7​​=52

x=​7​​√​52​​​

x ≈ 1.76

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

4x​8​​+3=57

4x​8​​=54

x​8​​=13.5

x ≈ 1.38

x ≈ −1.38

x=​8​​√​13.5​​​

x=−​8​​√​13.5​​​

Solving power equations

x​2​​=−81

x​5​​=−81

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