The function f(x) = (x − 4)(x − 2) is shown. what is the range of the function? all real numbers less than or equal to 3, all real numbers less than or equal to −1, all real numbers greater than or equal to 3, all real numbers greater than or equal to −1

All real numbers greater than or equal to

Step-by-step explanation:

we have

Multiply

This is a vertical parabola open upward

Convert into vertex form

The equation of a vertical parabola into vertex form is equal to

where (h,k) is the vertex

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The vertex is the point ------> is a minimum (open upward)

therefore

The range is the interval -------> [-1,∞)

All real numbers greater than or equal to

explanation:

step-by-step explanation: