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Mariulka [41]
3 years ago
10

Please help on this one!

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

We can usually get a couple of facts for these that let us rule out answers without working out all the details.

The green and red areas are below a CUP parabola, opening up.  CUP stands for concave up positive, and tells us there's a positive coefficient on x².  Unfortunately all the choices have a positive 1 coefficient, no help here.

Since the areas are below they're going to be y ≤ x² + other stuff.  That rules out B and C.  

The red and blue parts are below the line, and the line has a positive slope.  So that's y ≤ mx + b where m>0 is the positive slope.  That rules out D with the negative slope.


Answer: A


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4 years ago
What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)
Naddik [55]
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


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Therefore the turning point is


(1,-3)

C is the correct answer.
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Answer:

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