The function f (x) = (x-4) (x-2 is shown. What is the range lf the function

Range: y "-1

Step-by-step explanation:

f (x) = (x - 2) (x - 4)

f (x) = x² - 2x - 4x + 8

f (x) = x² - 6x + 8

f (x) = x² - 2 (x) (3) + 3² - 3² + 8

f (x) = (x - 3) ² - 1

Vertex: (3,-1)

Minimum value: - 1

Range: y "-1

The range is all values greater than or equal to - 1

y : y≥-1

Step-by-step explanation:

f (x) = (x-4) (x-2)

This functions is an upwards facing parabola. This means it has a minimum

The minimum is 1/2 way between the zeros

0 = (x-4) (x-2)

x-4 = 0 x-2 = 0

The zeros are at 4 and 2

(4+2) / 2 = 6/2 = 3

The minimum is at x=3

The minimum value is at

f (3) = (3-4) (3-2) = - 1 (1) = -1

The range is all values greater than or equal to - 1

y : y≥-1