Question 13 14d. Given that f(x) = x f'(x) = x²(-2x+3) e2z f" (x)=2(4x²-12x+6) select ALL correct statements about the graph of y = f (x) from the list below. the function is increasing at 2 = 1 the x-intercept is 0 the y-intercept is -1 x=-3 is in the domain of f (x) the critical point of f (2) lies on the interval (2,5) the graph is concave upward at 2 = 1 the function is continuous throughout its domain Question 11 3b. The y-intercept of the graph of f'() always correspond to the location of the maximum and minimum points on the graph of f (x). True False Question 12 Bd. Which of the following can the second derivative not be used to determine? local maxima or local minima concavity where the function in concave up or down points of inflection

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 53E
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(11, 12, and 13) Explain how to solve these question in detailed steps.

Question 13
14d. Given that
f(x) = x
f'(x) =
x²(-2x+3)
e2z
f" (x)=2(4x²-12x+6)
select ALL correct statements about the graph of y = f (x) from the list below.
the function is increasing at 2 = 1
the x-intercept is 0
the y-intercept is -1
x=-3 is in the domain of f (x)
the critical point of f (2) lies on the interval (2,5)
the graph is concave upward at 2 = 1
the function is continuous throughout its domain
Transcribed Image Text:Question 13 14d. Given that f(x) = x f'(x) = x²(-2x+3) e2z f" (x)=2(4x²-12x+6) select ALL correct statements about the graph of y = f (x) from the list below. the function is increasing at 2 = 1 the x-intercept is 0 the y-intercept is -1 x=-3 is in the domain of f (x) the critical point of f (2) lies on the interval (2,5) the graph is concave upward at 2 = 1 the function is continuous throughout its domain
Question 11
3b. The y-intercept of the graph of f'() always correspond to the location of
the maximum and minimum points on the graph of f (x).
True
False
Question 12
Bd. Which of the following can the second derivative not be used to determine?
local maxima or local minima
concavity
where the function in concave up or down
points of inflection
Transcribed Image Text:Question 11 3b. The y-intercept of the graph of f'() always correspond to the location of the maximum and minimum points on the graph of f (x). True False Question 12 Bd. Which of the following can the second derivative not be used to determine? local maxima or local minima concavity where the function in concave up or down points of inflection
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