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Which polynomial function could be represented by the graph below?


A. f(x) = x2 – 6x + 8

B. f(x) = 3x2 – 18x + 24

C. f(x) = x2 + 6x + 8

D. f(x) = 3x2 + 18x + 24

Which polynomial function could be represented by the graph belowA fx x2 6x 8B fx 3x2 18x 24C fx x2 6x 8D fx 3x2 18x 24 class=

Respuesta :

f(x) = x² - 6x + 8

from the graph the zeros are x = 2 and x = 4, hence

the factors are (x - 2) and (x - 4), thus

f(x) = (x - 2)(x - 4) ← expand factors

f(x) = x² - 6x + 8 is a possible polynomial


The polynomial function x² - 6x + 8 could be represented by the graph below. Hence option A is correct.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

A function is represented by two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable;

The polynomial function could be represented by the graph below is;

f(x) = x² – 6x + 8

Hence option A is correct.

To learn more about the graph, refer to the link;²

https://brainly.com/question/14375099

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