Asked by carlie
Which of the following polynomials could have the same end behavior as f(x)=ax^6+bx^5+c?
There may be more than one correct answer. Select all correct answers.
a. nx^5+bx^4+c
b. kx+b
c. dx^4−bx^3−cx^2+dx+e
d. −jx^8+bx^7+cx^4
e. −mx^2
can someone help me with this it is confusing and there is more than one answer so yea i need help
There may be more than one correct answer. Select all correct answers.
a. nx^5+bx^4+c
b. kx+b
c. dx^4−bx^3−cx^2+dx+e
d. −jx^8+bx^7+cx^4
e. −mx^2
can someone help me with this it is confusing and there is more than one answer so yea i need help
Answers
Answered by
oobleck
all polynomials of even degree either
go up on both ends
or do down on both ends,
depending on the sign of a.
Odd-degree polynomials go up on one end, and down on the other.
So, since f(x) is of degree 6 (even), any even-degree polynomial whose leading coefficient is the same sign as a will behave like f(x) at the ends.
So, C,D,E are possibilities. If all constants a,b,c,... are positive, then only C will do.
go up on both ends
or do down on both ends,
depending on the sign of a.
Odd-degree polynomials go up on one end, and down on the other.
So, since f(x) is of degree 6 (even), any even-degree polynomial whose leading coefficient is the same sign as a will behave like f(x) at the ends.
So, C,D,E are possibilities. If all constants a,b,c,... are positive, then only C will do.
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