Which of the following functions represents the values in the table below?
x 0 2 4 6
f(x) 2 10 66 218
a f(x) = -3x - 2x 2
b f(x) =x^3/2
c f(x) = 2 + x 3
d f(x) = 3x - 2

Respuesta :

Answer:

f(x) = 2 + x^3

Step-by-step explanation:

The function f(x)=2+x^3 satisfies all the values given in the table.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the third option C we will check all the values of x in the function.

[tex]f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218[/tex]

Hence the function f(x)=2+x^3 satisfies all the values given in the table.

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