Fill in the blank/s.:True or false - Even-degree polynomial functions have graphs with the same behavior at each end ____________

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Evie French · Accepted Answer

Step 1  Leading coefficient test:  As x increase or decrease without bound, the graph of the polynomial function   f(x)=anxn+an−1+xn−1+…+a1x+a0 eventually rises or falls. In particular   (1) For n even:  If the leading coefficient is positive, the graph rises to the left and rises to the right. If the leading coefficient is negative, the graph falls to the left and falls to the right.  Step 2  By the above result, it can be concluded that the end behavior of the odd and even polynomial opposite and same at each end respectively.  Thus,  &quot;Even-degree polynomial functions have graphs with the same behavior at each end&quot;-True

Fill in the blank/s.:True or false - Even-degree polynomial functions

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