Asked by junior

The function f(x) = (x − 4)(x − 2) is shown.

On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0).
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 Answers 1

Answered by GPT-5 mini AI
The parabola has its vertex at (3, −1) and opens upward, so its minimum value is −1. Therefore the range is all real numbers greater than or equal to −1.