What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?
2 answers:
Answer:
As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
Step-by-step explanation:
F(x) is a fifth degree (odd function ) with negative leading coefficient
If exponent is odd and leading coefficient is negative then end behavior is
As x approaches ∞, y approaches -∞
As you go on the right , f(x) goes down
As x approaches -∞, y approaches ∞
As you go on the left , f(x) goes up
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Here's a rough graph haha
the graph has a factor of 4/1 (considered the "slope"), and the vertex is translated 2 units to the right (whatever is in the | lines | has the negative/positive flipped), and 6 units down.
the graph has a factor of 4/1 (considered the "slope"), and the vertex is translated 2 units to the right (whatever is in the | lines | has the negative/positive flipped), and 6 units down.