The function f(x) = (x − 4)(x − 2) is shown.what is the range of the function?

The range is y ≥ -1

Step-by-step explanation:

∵ f(x) = (x - 4)(x - 2)

∴ f(x) = x² - 2x - 4x + 8

∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by

   parabola graphically

∵ a = 1 , b = -6 , c = 8

∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3

∴ f(3) = (3)² - 6(3) + 8 = -1

∵ a is positive ⇒ the curve has minimum point and it's open upward

∴ the minimum point is (3 , -1)

∴ The range is y ≥ -1 ⇒ because the minimum value is -1

i worked some of it out

Step-by-step explanation:

1 mile = 5,280ft

1 hour = 8 miles

30 min = 4 miles

15min = 2 miles

7.5 (7min and 30 sec) = 1 mile

3.75(225 sec) =1/2 mile = 2,640ft

0.25(quarter of a mile) = 1,320ft

i just completely lost myself but if this helps then great! sorry if i wasted your time