3Tvwo §9.5 Power functions

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 3

§9.5 Power functions

This paragraph and the next

-  §9.6 Calculating with powers -

, are closely linked together.

However, this LessonUp is only about §9.5.

Task 1: Imagine what the graph for function f looks like.

So try to see it as clearly as possible, in your head!

Compare to the next slide.

f(x)=x​2​​

Solution 1:

This is it! Remember?

A parabola.

It is symmetrical around the y axis.

Now a question for one of you.   All think about it!

We have the formula:   

Task 2:  Calculate                                        and also:

After 20 seconds:

' ............... , please open your mike and give us your answers!'

g(x)=x​3​​

g(−4)=....

g(4)=....

Solution 2:

                                         =  -4 x -4 x -4 = - 64

                                          =    4 x 4 x 4 = 64

g(x)=x​3​​

g(−4)=....

g(4)=....

Task 3:

Imagine what the graph for: 

looks like.

Answer is in the next slide.

g(x)=x​3​​

Task 4.  Given the function:

Calculate in your head:                                      and also:

h(x)=x​4​​

h(−2)

h(2)

Solution 4.  Given the function:

                                          = -2 x -2 x -2 x -2 = 16    and

                                          = 2 x 2 x 2 x 2 = 16  too!

                      

h(x)=x​4​​

h(−2)

h(2)

Task 5: 

Once more a question for one of you.  Might be you!

imagine what shape the graph for    

has!

After 25 seconds: ' ............ , open your mike and tell us what it looks like!'

Solution next slide.

h(x)=x​4​​

In the next slide ....

the previous content is summarized by a 

'Theory'.        

Homework time.

Work on §9.5 for 10 to 15 minutes. 

SKIP p.70!

Then we continue with a LessonUp about 

§9.6 CALCULATING WITH POWERS.

So: stay in the Googlemeet!