Question

End behavior of this equation :x5 - 4x3 + 3x2 - 8x - 6

Answer 1

@ganeshie8 @phi

Answer 2

Approaches positive infinity to the right...as x approaches positive infinity
Approaches negative infinity to the left...as x approaches negative infinity

Answer 3

Is it both or just one?

Answer 4

If the degree is odd (5 in this case) the end behaviors will be opposite on both sides
If the leading coefficient is postive (1 in this case) it is positive infinity to the right and negative infinity to the left

Answer 5

both what?

Answer 6

so x( +infinity) to F(x) to (-infinity)?

Answer 7

If F(x) = :x5 - 4x3 + 3x2 - 8x - 6
F(x) approaches positive infinity as x approaches positive infinity.
F(x) approaches negative infinity as x approaches negative infinity.

Answer 8

https://docs.google.com/a/student.ucps.k12.nc.us/document/d/1dN6UMXuBLmHJ1_0plTqJRbTJx6z3VlCQ_CHUrm1Zmqw/edit (answers are ant the end behavior part)

Answer 9

Memorize the graph of x^2 and -x^2. The end behavior of ALL even degree polynomials will be similar to those two graphs. (Positive coefficient goes with +x^2 and negative coefficient goes with -x^2).

Memorize the graph of x^3 and -x^3. The end behavior of ALL odd degree polynomials will be similar to those two graphs. (Positive coefficient goes with +x^3 and negative coefficient goes with -x^3).