What type of function? Is the leading coefficient negative or positive? Is the degree of the function odd or even?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(Function in the image) What type of function? Is the leading coefficient negative or positive? Is the degree of the function odd or even?
Consider the function below:
8
5
3
2
10-9 -8 -7 -6 -5 -4 -3 -2
S 6 7 8
-2
-3
-4
-5
-6
-7
-8
-9
-10
Transcribed Image Text:Consider the function below: 8 5 3 2 10-9 -8 -7 -6 -5 -4 -3 -2 S 6 7 8 -2 -3 -4 -5 -6 -7 -8 -9 -10
Expert Solution
Step 1

Theory of end behavior of the graph f(x)=a1xn+a2x(n-1)+ +an

When degree of the function is odd and leading coefficient is positive then graph will fall on the left and rises on the right.

When degree of the function is odd and leading coefficient is negative then graph will fall on the right and rises on the left.

When degree of the function is even and leading coefficient is positive then graph will  rise on left and right both sides.

When degree of the function is even and leading coefficient is negative then graph will  fall on left and right both sides.

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