3. (24 Points) For the following problem, no justification is required. Let f(x) be a polynomial...

 

 

Transcribed Image Text:

3. (24 Points) For the following problem, no justification is required. Let f(x) be a polynomial whose second derivative f"(x) is graphed below: "(x) A B D Answer the following question about the second derivative of f(x): (a) Circle any that apply: Inflection point of f"(x) ABCD x-value is a critical number of f"(x) A B C D Answer the following questions about the first derivative of f(x): (b) Write any intervals on which f'(x) is increasing: Write any intervals on which f'(x) is decreasing: (c) Circle any that apply: Local maximum of f'(x) ABCD Local minimum of f'(x) ABCD (d) Write any intervals on which f'(x) is concave up: Answer the following question about the original function f(x): (e) Circle any that apply: Inflection point of f(x) ABCD 3. (24 Points) For the following problem, no justification is required. Let f(x) be a polynomial whose second derivative f"(x) is graphed below: "(x) A B D Answer the following question about the second derivative of f(x): (a) Circle any that apply: Inflection point of f"(x) ABCD x-value is a critical number of f"(x) A B C D Answer the following questions about the first derivative of f(x): (b) Write any intervals on which f'(x) is increasing: Write any intervals on which f'(x) is decreasing: (c) Circle any that apply: Local maximum of f'(x) ABCD Local minimum of f'(x) ABCD (d) Write any intervals on which f'(x) is concave up: Answer the following question about the original function f(x): (e) Circle any that apply: Inflection point of f(x) ABCD