HELP
Consider the table of values for functions f(x) and g(x).

x f(x) g(x)
−2 −32 125
−1 −1 15
0 0 1
1 1 5
2 32 25
3 243 125
4 1024 625
Which statements are most likely true based on the given values?

Select each correct answer.

A. f(x) is a polynomial function.

B. f(x) is an exponential function.

C. g(x) is a polynomial function.

D. g(x) is an exponential function.

E. The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.

F. The output values of g(x) will surpass those of f(x) as the input values continue to increase.

the output of f(×) will remain greater than those of g(×) as input values continue to increase.

CORRECT ME IF I AM WHRONG.

THANK YOU.

Answer Link

ashutoshmishra3065 ashutoshmishra3065 · Answer 2 · 2022-05-09T13:40:24+02:00

Only option A, [tex]f(x)[/tex] is a polynomial function is the correct answer based on the table given.

Polynomial

A polynomial is mathematical equation consisting of independent variables such that, for each value of the independent variable, the function have a unique value.

How to determine whether a function is a polynomial?

As for uniques values of the variable [tex]x[/tex], the value of the function [tex]f(x)[/tex] is unique so, [tex]f(x)[/tex] is a polynomial function.

The function, [tex]g(x)[/tex] is not a function as it have equal values for two different values of the variable [tex]x[/tex].

Option E and F are incorrect as, we can see in the table that sometimes the value of [tex]f(x)[/tex] is more and sometime the value of the function, [tex]g(x)[/tex] is more.

Thus, only option A is the correct answer.

Learn more about Polynomials here- https://brainly.com/question/11536910

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