Untitled

 2 mark

| -0.25 mark |

 60 minutes

00:00:00

Question 1:

A real number \( x \) is such that the sum of the number and four times its square is the least. What is that number?

Question 2:

Consider the function defined by the expression \( f(x) = x + 4x^2 \). What is the value of \( x \) that minimizes the function?

Question 3:

If the expression \( y = x + 4x^2 \) represents a parabola, what is the vertex of the parabola?

Question 4:

Given the function \( g(x) = x + 4x^2 \), what is the nature of the critical point found at \( x = -0.125 \)?