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Create a function that meets the following requirements. Has 3 turning points
Has the following zeros: -2, 4 (Note: Your function can have more zeros than these)

Question

Help
Create a function that meets the following requirements. Has 3 turning points 
Has the following zeros: -2, 4 (Note: Your function can have more zeros than these)

Luigi0210 · Answer

Do you at least know how to start it off?

Subshilava · Answer

I know that the zeros would be (x+2) and (x-4) and that since it had three turning points I need another zero

Luigi0210 · Answer

Yes, that's correct, you at least have

$$\large (x+2)(x-4)=0 $$
However, this will only produce an $ x^2$ function, which has ONE turning point.

Do you know any way to add more turning points?

Subshilava · Answer

Expand it?

Luigi0210 · Answer

Even though it's not explicitly stated, zero could be a zero of the function.

Subshilava · Answer

Srry my moms texting me 😪

Luigi0210 · Answer

In simpler terms, if you add a zero, it adds a turning point:

$\large x(x+2)(x-4)=0 $ gives you two turning points.

If you add another 0
$\large x^2(x+2)(x-4)=0 $ , that gives you three turning points.

You can graph to confirm that it has three turning points.

Subshilava · Answer

Oh ok I forgot about 0’s ty