Question

Asked Jul 3, 2019

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how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

Step 1

*Given:*

The function is

Step 2

*Result used:*

*Leading coefficient test:*

- If the degree is even with positive leading coefficient, then the graph of the function will rise to both left and right.

2.When the degree is odd with positive leading coefficient, then the graph of the function will fall to the left and rises to the right.

- If the degree is even with negative leading coefficient, then the graph of the function will fall to both left and right.

4.When the degree is odd with negative leading coefficient, then the graph of the function will rise to the left and falls to the right.

Step 3

*Explanation:*

The end behavior of the given function can be computed as follows.

Observe the nature ...

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