Question

Determine the domain on which the following graph of f, left bracket, x, right bracketf(x) is positive.

Answer 1

(2, 6)

Explanation:

The domain on which the graph of a function is positive is the set of x-values where the graph of the function is above the x-axis, meaning when y > 0.

The given graph shows a downward-opening parabola which crosses the x-axis at x = 2 and x = 6. Therefore, the domain on which f(x) > 0 is the set of x-values between the x-intercepts, which is (2, 6).