Question

Examine the graphs below and determine which is the graph of f(x), f ′(x), f ′′(x)

Answer 1

For polynomials, the DEGREE of the function reduces one for each derivative.

Answer 2

the violet one cuts the x-axis 4 times, red one 3 times and blue one 2 times..
so the violet one is f(x), red one is f'(x) and blue one is f''(x)

Answer 3

@chris215

Answer 4

thank you!!!