Consider the function f (x) = x2 shown, which describes the graph of the function? A) increasing B) decreasing C) increasing then decreasing D) decreasing then increasing

Option D - Decreasing then increasing

Step-by-step explanation:

Step 1:

The graph (plot) of the function given f (x) = x^2 is a parabola which opens upwards

The function keeps decreasing as x increases for negative values of x

It reaches the origin for x = 0

Then the function increases as x increases for positive values of x

Step 2:

Based on the inference in step 1 we can get that the graph of the given function decreases first and them increases.

Hence option D - decreasing then increasing describes the given function.