Answer:
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
[tex]g(x)= −ax^(5)+bx^(4)−cx^(3)+dx^(2)+ex+f[/tex]
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.
