Please assist Which of the following best describes the end behavior of this pol
ID: 2876321 • Letter: P
Question
Please assist
Which of the following best describes the end behavior of this polynomial function? y = ax^4 + bx^3 + cx^2 + dx + e a > 0 As x takes on large positive and large negative values, f(x) tends toward negative infinity. As x takes on large positive and large negative values, f(x) tends toward positive infinity. As x takes on large positive values, f(x) tends toward negative infinity; as x takes on large negative values, f(x) tends toward positive infinity. As x takes on large positive values, f(x) tends toward positive infinity; as x takes on large negative values, f(x) tends toward negative infinity.Explanation / Answer
The given function is, y=ax4+bx3+cx2+dx+e, a>0
Observe that the leading coefficient of the function is positive (a>0) and the degree of the polynomial function is even (fourth degree). Hence the graph of the function will open upward.
So the value of f(x) will tend toward positive infinity from both sides.
Hence. AS X TAKES ON LARGE POSITIVE AND LARGE NEGATIVE VALUES, F(X) TENDS TOWARD POSITIVE INFINITY.
Hence option (b) is correct.