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Tanya [424]
3 years ago
15

What is the domain of the following list of ordered pairs? (-3, -2), (1, 5), (-2, 4)

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0
X∈{-3,-2,1}, as there are only points, only certain set numbers can be included within the domain
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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)
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ANSWER

The turning point is

(1,-3).


EXPLANATION


The function given to us is

f(x) = (x - 1) ^{3}  - 3

At turning point,
f  '(x) = 0

So we need to differentiate the given function and equate it to zero.



We using the chain rule of differentiation, we obtain,
f '(x) =3 (x - 1) ^{2}

We equate this to zero to obtain,




3 (x - 1) ^{2}   = 0



We divide through by 3.


(x - 1) ^{2}   = 0

We solve for x to get,

x - 1 = 0


x = 1


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.





f(1) = (1- 1) ^{3}  - 3




f(1) = 0 - 3


f(1) = - 3

Therefore the turning point is


(1,-3)

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