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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Well, you transform the standard form equation into slope-intercept form (y=mx+b), since you can only graph it using this form.
First of all, the layout of the equation is
So, in this case, A is 2, B is 5, and C is 25.
Now, to put it into slope intercept form, you either use the formula to change it and solve it:
Or you can just solve for y:
In addition, I attached what the graph looks like.
Hope this helps!
First of all, the layout of the equation is
So, in this case, A is 2, B is 5, and C is 25.
Now, to put it into slope intercept form, you either use the formula to change it and solve it:
Or you can just solve for y:
In addition, I attached what the graph looks like.
Hope this helps!