The end behavior of the graph of the polynomial function f(x) = 3x⁶ + 30x⁵ + 75x⁴ is x -> +∞, y-->+∞ and x -> -∞, y->+∞
How to determine the end behavior?
The equation of the function is given as:
f(x) = 3x⁶ + 30x⁵ + 75x⁴
Next, we plot the graph of the function
From the attached graph, we have the following highlights:
- As x increase, y increases
- As x decreases, y increases
Hence, the end behavior of the graph of the polynomial function f(x) = 3x⁶ + 30x⁵ + 75x⁴ is x -> +∞, y-->+∞ and x -> -∞, y->+∞
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