Consider the function below. f(x) =    x2 + 3  − x (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x =     Find the horizontal asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)y =     (b) Find the interval where the function is decreasing. (Enter your answer in interval notation.)     (c) Find the interval where the function is concave up. (Enter your answer in interval notation.)     (d) Use this information to sketch the graph of f. (Do this on paper. Your instructor may ask you to turn in this graph.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 39E
Question

Consider the function below.

f(x) = 
  x2 + 3
 − x
(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
x =
 
 


Find the horizontal asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y =
 
 


(b) Find the interval where the function is decreasing. (Enter your answer in interval notation.)
 
 


(c) Find the interval where the function is concave up. (Enter your answer in interval notation.)
 
 


(d) Use this information to sketch the graph of f. (Do this on paper. Your instructor may ask you to turn in this graph.)
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