Question

Which expression is a possible leading term for the polynomial function graphed below?

–18x14
–10x7
17x12
22x9

Answer 1

Answer:

22x^9

Step-by-step explanation:

Note that this graph begins in Quadrant III and continues in Quadrant I.  This is also the behavior of the odd function y = x^3.  Thus, we can immediately eliminate the possibilities -18x^14 and 17x^12.  The correct answer choice is 22x^9, as this, as y = x^3, has a positive coefficient and the same shape as the given graphed function for "large" values of positive or negative x.

Answer 2

The leading term for the polynomial function graphed in the question is 22$x^{9}$ which is option D).

What is polynomial function?

A polynomial function is like another functions that has positive integers. It may be cubic polynomial, quadratic polynomial, etc.

How to make graph of function?

If we observe the graph carefully then we can find that the graph comes from third quadrant then it enters in second quadrant and then it enters in the first quadrant. This is the nature of a graph of f(x)=$x^{3}$ and in the given options we can only write $22x^{9}$ as 22$22x^{3} *^{3}$. So the leading term may be 22$x^{9}$.

Hence the leading term of the function graphed is 22$x^{9}$.

Learn more about polynomial function at https://brainly.com/question/2833285

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