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identify if each function is a polynomial function. justify your answer.

Sagot :

Functions which are polynomials are y=[tex]5x^{4} +x^{2} -8[/tex] ,y=[tex]7x^{3}[/tex] and y=[tex]6^{x}[/tex]

Given Functions : 1) y=[tex]-x^{2} +1/1-2x[/tex] 2)y=[tex]5x^{4} +x^{2} -8[/tex]. 3) y=[tex]7x^{3}[/tex]and g(x)=[tex]6^{x}[/tex].

We need to find which functions are polynomials. We know that polynomials is an expression consisting of indeterminates and coefficients that involves only the operations of addition, subtraction, multiplication and non negative integers .

First function is y=[tex]-x^{2} +1/1-2x[/tex]

The above function is not a polynomial because it has not a variable containing power in whole number and it is in fraction form. Two different polynomials can form numerator and denominator in a fraction.

Second function is y=[tex]5x^{4} +x^{2} -8[/tex]

The above function is a polynomial as it has a variable having power and it is not in fraction also.

Third function is  y=[tex]7x^{3}[/tex]

The above function is also a polynomial for the same reason.

Fourth function is g(x)=[tex]6^{x}[/tex].

The above function is also a polynomial.

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

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