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

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

d

step-by-step explanation: