Respuesta :
Answer:
The correct option is 1.
Step-by-step explanation:
From the given table is notices that the function f(x) is a downward parabola.
The maximum value of f(x) is 5 at x=1.
The function g(x) is
[tex]g(x)=-x^2+4x[/tex]
vertex of the parabola is
[tex](\frac{-b}{2a}, g(\frac{-b}{2a}))[/tex]
[tex](\frac{-4}{2\times 1}, g(\frac{-4}{2\times 1})[/tex]
[tex](2, g(2))[/tex]
Put x=2.
[tex]g(x)=-2^2+4(2)=4[/tex]
Therefore the vertex of g(x) is (2,4). The vertex of a downward parabola is the maximum point of the function.
Therefore ƒ(x) has the greater maximum. Option 1 is correct.
