What is the end behavior of f(x)=4x^4-3x^2?
1 answer:
Answer:
as x→∞, y→∞
as x→-∞, y→∞
Step-by-step explanation:
To tell what the end-behavior is, look at the x with highest exponent value in the function.
f(x) = 4x⁴ - 3x²
The highest power is x⁴.
Our highest exponent value is 4.
If the highest power is an even number, the end behavior is:
as x→∞, y→∞
as x→-∞, y→∞
this is always true. It's part of the rule for end-behavior.
The end behavior graph for an even power will look like the graph for x².
This is also always true. It will always look like this if the highest power is an even number.
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