Can u guys help plz
1 answer:
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Answer:
As x gets smaller, pointing to negative infinity, the value of f decreses, pointing to negative infinity.
As x gets increases, pointing to positve infinity, the value of f decreses, pointing to negative infinity.
Step-by-step explanation:
To find the end behaviour of a function f(x), we calculate these following limits:
And
In this question:
At negative infinity:
When the variable points to infinity, we only consider the term with the highest exponent. So
So as x gets smaller, pointing to negative infinity, the value of f decreses, pointing to negative infinity.
Positive infinity:
So as x gets increases, pointing to positve infinity, the value of f decreses, pointing to negative infinity.
For this case we have the following data:
Polynomial function of grade 5
Given roots: -2, 2,
Having an imaginary root given by , the other root, in the same imaginary way, must be given by its complex conjugate, that is,
.
In this way, the fourth root is given by:
Since the polynomial function is grade 5, it must have 5 roots. Thus, the fifth root must be given by a real number.
Thus, the roots of the polynomial function are given by: three real roots and two imaginary roots.
Answer:
Option D