will mark !
consider the possible end behavior of the function g(x)=−ax^(5)+bx^(4)−cx^(3)+dx^(2)+e x+f.
because g(x) is an _[blank 1]_ polynomial, the end behavior is _[blank 2]_ on each side of the graph of g(x).
blank 1
blank 2
1. negative infinity
2. the same
3. even-degree
4. odd-degree
5. the opposite
6. positive
7. infinity
8. negative

Blank 1 : Odd Degree

Blank 2 : Infinity

Step-by-step explanation:

Let us under stand the basics of determining the end behavior of a graph , by just analyzing the degrees and coefficient of a polynomial.Please refer to the image we have shared with this for a better understanding also.

The rule is bifurcated in two broad category and and two sub category in them.

Category .

The nature of degree (Even / Odd )

Subcategory .

The coefficient of term containing degree ( Negative/Positive )

Rule 1 :

Degree : Even

If coefficient is

Rule 1(a) : Positive ⇒Both ends are towards +ve infinity

Rule 1(b) : Negative⇒Both ends are towards -ve infinity

Rule 2 :

Degree : Odd

If coefficient is

Rule 2(a) : Positive ⇒ Left ends is -ve infinity and Right end is +ve infinity

Rule 2(b) : Negative ⇒ Left ends is +ve infinity and Right end is -ve infinity

Let us see our polynomial g(x) now

Here

Degree is 5 which is Odd

Its coefficient is (-5) which is negative

Hence we go to rule 2(b)

That is the Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.

the answer is 24

step-by-step explanation: