Describe the end behavior of f(x)=-x^5+4x^3-2x-2
1 answer:
Answer:
As x→∞, f(x)→∞
and as x→-∞, f(x)→-∞
Step-by-step explanation:
View Image.
Your first step is to look at the highest value exponent.
In this case it's x⁵.
If the highest exponent is an odd number, the graph will look like a sideway S as shown in the picture below. You can see as you move farther to the right, the y value approaches positive infinity hence "As x→∞, f(x)→∞".
As you move farther left, the graph reaches negative infinity, hence "as x→-∞, f(x)→-∞".
Anyway, if your exponent were to be an even number then you're graph would look like a parabola (looks like a letter U) and f(x) would reach positive infinity when moving to the right side and left side.
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