Question

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

Answer 1

d.

Explanation:

Answer 2

This parabola y=f(x) = (x²-6x+8) is:

1) Open downward (a>0)

2) it's axis of symmetry = -b/2a = 62 = 3

3) for x=3 , y= -1, So its minimum is at (3,-1)

4) Since its minimum is at y=-1, so it cannot go below -1

5) So its range is {y∈R: y>= - 1}

or all real numbers greater than or equal to −1