Suppose that f(3) = 1, f(3) = 2, and f"(3) = -4. (a) Which of the following graphs most resembles the graph of y = f(x) close to x = 3? %3! (b) The equation of the tangent line tof at 3 can be written as y = mx + b. What is the value of m? (c) The equation of the tangent line to f at 3 can be written as y = mx + b. What is the value of b?
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![Suppose that f(3) = 1, f'(3) = 2, and f"(3) = -4.
(a) Which of the following graphs most resembles the graph of y = f(x) close to x = 3?
(b) The equation of the tangent line to f at 3 can be written as y = mx + b. What is the value of m?
(c) The equation of the tangent line to f at 3 can be written as y = mx + b. What is the value of b?
(d) Use a degree 2 Taylor approximation of f at 3 to estimate f(3.1). Round your answer to 3 decimal places.
(A)
1.
3
(D) y
(E)
1
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ad3ddef-d8f8-492d-9011-e376739febd0%2F94840d4f-99f6-4f7b-a77a-e2f3eeb510ab%2Fofnbv2q_processed.jpeg&w=3840&q=75)
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