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Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the graph?

Respuesta :

rgwoot
When looking at cube functions, the coefficient of the cubed term determines the directions of the graph. In the parent cube function y=x³, the graph increases from left to right, the left end starts on bottom and the coefficient of the cube term is positive. In this case the cubed term is negative, meaning the graph is decreasing from left to right and it starts on the top from the left. So, the answer is the the coefficient of the the cubed term indicates that the left end starts at the top of the graph.

The coefficient of the term x³ indicates that in this given function, the left end of the graph starts at the top.

What is a function?

A function is the relation between two sets called domain and range.

Here, the given function is:

f(x) = - 3x³ + 9x² - 2x + 3

Here, the graph is a polynomial of degree 3.

Therefore, the leading coefficient is (- 3).

The nature of the graph is indicated by the leading coefficient.

Hence, the first term of the polynomial indicates the nature of the graph.

Learn more about a function here: https://brainly.com/question/1699368

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