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Gre4nikov [31]
3 years ago
9

Which function does this graph correspond to?

Mathematics
2 answers:
valkas [14]3 years ago
8 0

Answer with Step-by-step explanation:

The graph in the attachment has x-intercepts at

x=2,-2,1,-1

These are the solutions of the polynomial function represented by the given graph.

We can write all these solutions as factors to obtain,

x-2,x+2,x-1,x+1

The product of all these factors gives us the required function

(x-1)(x-2)(x+1)(x+2)

Hence, the correct option is:

C. (x − 1)(x − 2)(x + 1)(x + 2)

tiny-mole [99]3 years ago
7 0
ANSWER

The function that the given graph corresponds to is
f(x) = (x - 2)(x - 1)(x + 1)(x  + 2)



EXPLANATION

The given graph in the attachment has x-intercepts at

x =  - 2 ,x=-1,x=1  \:  \: and   \: \: x=2


These are the solutions of the polynomial function represented by the given graph.




We can write all these solutions as factors to obtain,

x  + 2  ,x + 1 ,x - 1   \:  \:and \:  \: x - 2


The product of all these factors gives us the function whose graph was drawn.


This implies that,

f(x) = (x - 2)(x - 1)(x + 1)(x  + 2)


Therefore the correct answer is option C.
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