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Here Is a Function and Its First and Second Derivatives

Question 103

Essay

Here is a function and its first and second derivatives:
f(x)= Here is a function and its first and second derivatives: f(x)=    f'(x)=    f''(x)=    (a)Determine all x- and y-intercepts. (b)Determine equations of all vertical asymptotes and non-vertical asymptotes. (c)Determine intervals on which the function is increasing; determine intervals on which the function is decreasing. (d)Determine the coordinates of all relative maximum and relative minimum points. (e)Determine intervals on which the function is concave up; determine intervals on which the function is concave down. (f)Determine the coordinates of all inflection points. (g)With the aid of the information obtained in parts (a)- (g),give a reasonable sketch of the curve.
f'(x)= Here is a function and its first and second derivatives: f(x)=    f'(x)=    f''(x)=    (a)Determine all x- and y-intercepts. (b)Determine equations of all vertical asymptotes and non-vertical asymptotes. (c)Determine intervals on which the function is increasing; determine intervals on which the function is decreasing. (d)Determine the coordinates of all relative maximum and relative minimum points. (e)Determine intervals on which the function is concave up; determine intervals on which the function is concave down. (f)Determine the coordinates of all inflection points. (g)With the aid of the information obtained in parts (a)- (g),give a reasonable sketch of the curve.
f''(x)= Here is a function and its first and second derivatives: f(x)=    f'(x)=    f''(x)=    (a)Determine all x- and y-intercepts. (b)Determine equations of all vertical asymptotes and non-vertical asymptotes. (c)Determine intervals on which the function is increasing; determine intervals on which the function is decreasing. (d)Determine the coordinates of all relative maximum and relative minimum points. (e)Determine intervals on which the function is concave up; determine intervals on which the function is concave down. (f)Determine the coordinates of all inflection points. (g)With the aid of the information obtained in parts (a)- (g),give a reasonable sketch of the curve.
(a)Determine all x- and y-intercepts.
(b)Determine equations of all vertical asymptotes and non-vertical asymptotes.
(c)Determine intervals on which the function is increasing; determine intervals on which the function is decreasing.
(d)Determine the coordinates of all relative maximum and relative minimum points.
(e)Determine intervals on which the function is concave up; determine intervals on which the function is concave down.
(f)Determine the coordinates of all inflection points.
(g)With the aid of the information obtained in parts (a)- (g),give a reasonable sketch of the curve.

Correct Answer:

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(a)(0,0)
(b)x = 2
(c)inc.on (-...

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