Homework SourseLesson 221 1 A Describe the righthand and lefthand behavior
Lesson 2.21
1)
A) Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.)
The graph rises to the right.
The graph falls to the right.
The graph rises to the left.
The graph falls to the left.
B) Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.)
g(x)= 2-3/2x-2x^2
(3/2x is a fraction)
The graph rises to the right.
The graph falls to the right.
The graph rises to the left.
The graph falls to the left.
C) Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.)
g(x) = x3 + 6x2
The graph rises to the right.
The graph falls to the right.
The graph rises to the left.
The graph falls to the left.
| f(x) = | 1 | x3 + 2x |
| 8 |
Solution
(1) f(x)=1/(8(x^3+2x))
Left end behaviour:-> when x tends to - infinity then f(x) tends to zero and graph rises to left
Right End behaviour:-> when x tends to infinity then f(x) tends to zero and graph falls to right
(2) g(x)=2-3/2x-2x^2
Left end behaviour:-> when x tends to - infinity then g(x) tends to -infinity and graph falls to left
Right End behaviour:-> when x tends to infinity then g(x) tends to -infinity and graph falls to right
(3)g(x) = x3 + 6x2
Left end behaviour:-> when x tends to - infinity then g(x) tends to infinity and graph rises to left
Right End behaviour:-> when x tends to infinity then g(x) tends to -infinity and graph falls to right
