which of the following correctly describes the end behavior of the polynomial function, f(x)=2x^4-3x^2+2x
2 answers:
Answer:
<em>The end-behavior of the given function is: "Both ends upward".</em>
Step-by-step explanation:
Given polynomial function is:
For determining the end-behavior of a polynomial function, first we need to identify the degree and leading coefficient.
Degree means the highest exponent to the variable in the function. So, here <u>degree is 4</u>.
Leading coefficient is the coefficient of the first term in the function. So, here <u>the leading coefficient is 2</u>.
<u>Now the rule is:</u> <em>If the degree of the polynomial function is even and the leading coefficient is positive, then both ends of the graph of function will be in upward direction.</em>
So, the end-behavior of the given function is: "Both ends upward".
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Answer:
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I hope you find this information useful and interesting! Good luck!
