choose the end - behavior diagram that best describes the function.\nf(x)=-4.9x^4 + x^6+0.8x^7\nchoose the…
choose the end - behavior diagram that best describes the function.\nf(x)=-4.9x^4 + x^6+0.8x^7\nchoose the correct diagram below.\no a.\no b.\no c.\no d.
Answer
Explanation:
Step1: Identify the leading - term
The leading - term of the polynomial function (f(x)=-4.9x^{4}+x^{6}+0.8x^{7}) is (0.8x^{7}) since the term with the highest power of (x) is (0.8x^{7}).
Step2: Determine the end - behavior rule
For a polynomial function (y = ax^{n}), when (n) is odd and (a>0), as (x\to-\infty), (y\to-\infty) and as (x\to+\infty), (y\to+\infty). Here, (n = 7) (odd) and (a = 0.8>0).
Answer:
C.