Answer:
A Function states an equation that has only one answer for y for every x. Also, a function assigns exactly one output to each input of a specified type.
i,e y= f(x) where x represents the input variable and y represents the output value.
Given the function: \(F(x) = 2x^3-x^2-5x+6\)
Substitute the given input value of x =2 , we get;
\(F(2) = 2(2)^3-(2)^2-5(2)+6\)
\(F(2) = 2(8)-4-10+6\)
or
\(F(2) = 16-4-10+6\)
Simplify:
\(F(2) = 8\)
Therefore, the function \(F(x)=2x^3-x^2-5x+6\) for x=2, we have F(2) =8.