While flying above the water, a bird dives toward a fish and then returns to its original height. The function

f(x) = 4x2 _ 4 represents the path
of the bird's dive, where x is the horizontal distance from the fish, and f(x) is its height above the water.
Select all statements about the function that make sense in context.

A. The domain is all real numbers.
• B. The range is [-4, y], where y is its original height.
• C. The minimum is the point where the bird touches the surface of the water.
• D. The y-intercept is the depth of the fish.
• E. The function is negative wherever the bird is diving.
[ F. The function is symmetric.

1 answer

A. The domain is all real numbers.
C. The minimum is the point where the bird touches the surface of the water.
E. The function is negative wherever the bird is diving.