Mat 210 Brief Calculus Summer A 2019 Firoz David Murray & | 6/7/19 6:31 PM Quiz Me: Quiz Me: 2.3-2 Graph rational functions and identify characteristics of t

Mat 210 Brief Calculus Summer A 2019 Firoz
David Murray & | 6/7/19 6:31 PM
Quiz Me: Quiz Me: 2.3-2 Graph rational functions and identify characteristics of t
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Sketch the graph of the following function. State where any intercepts occur, where asymptotes occur, where any relative extrema occur, where the function is increasing or decreasing, where any inflection points
occur, and where the graph is concave up or concave down.
f( x) =
X+ 1
x2 – 2x – 3
On what interval(s) is f increasing and on what interval(s) is f decreasing?
O A. f is never increasing. f is decreasing on ( – co, – 1), ( – 1,3), and (3,co).
O B. f is increasing on ( – co, – 1), ( – 1,3), and (3,co). f is never decreasing.
O C. f is increasing on ( – 1,3). f is decreasing on ( – co, – 1) and (3,co).
O D. f is increasing on ( – 1,3) and (3,co). f is decreasing on ( – co, – 1).
O E. f is increasing on ( – co, – 1). f is decreasing on (3,co) and ( – 1,3).
O F. f is increasing on ( – co, – 1) and (3,co). f is decreasing on ( – 1,3).
Determine the coordinates of the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
O B.
There are no inflection points.
On what interval(s) is f concave up and on what interval(s) is f concave down?
O A. f is concave up on ( – co, – 1) and (3,co). f is concave down on ( – 1,3).
O B. f is concave up on ( – co, – 1). f is concave down on ( – 1,3) and (3,co).
O C. f is concave up on ( – 1,3) and (3,co). f is concave down on ( – co, – 1).
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