Question

Which is the graph of f(x) = RootIndex 3 StartRoot negative x EndRoot?

On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes through (8, 2).

On a coordinate plane, a funtion has 2 curved lines. The first line starts at (0, 0) and curves down to the left in quadrant 3 and goes through (negative 8, negative 2). The second line starts at (0, 0) and curves down and to the right and goes through (8, negative 2).

On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).

On a coordinate plane, a funtion has 2 curved lines. The first line starts at (0, 0) and curves up to the left in quadrant 2 and goes through (negative 8, 2). The second line starts at (0, 0) and curves up and to the right and goes through (8, 2).

Answer 1

The third description.

Reason: ∛(-x) = -∛(x), so it's the x-axis reflection of y = ∛x. Since y = ∛x goes through (-8,-2), (0,0), (8,2), reflecting across the x-axis gives (-8,2), (0,0), (8,-2), which matches the third option.