oint (−8, −11), changes direction at the point (−2, −25), goes up and right becoming more steep, crosses the y-axis at approximately y = −23, crosses the x-axis at x = 6, passes through the approximate point (8, 14), and exits the window in the first quadrant. (a) Estimate the vertex. (x, y) =         (b) For what x values is the graph increasing? Write the answer using an inequality. x < −25 x > 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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Question
Use the graph of f(x) to estimate the following.
The x y-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right becoming less steep, crosses the x-axis at x = −10, passes through the approximate point (−8, −11), changes direction at the point (−2, −25), goes up and right becoming more steep, crosses the y-axis at approximately y = −23, crosses the x-axis at x = 6, passes through the approximate point (8, 14), and exits the window in the first quadrant.
(a)
Estimate the vertex.
(x, y) = 
 
   
 
(b)
For what x values is the graph increasing? Write the answer using an inequality.
x < −25
x > 2
    
x < −2
x > −2
x > −25
(c)
For what x values is the graph decreasing? Write the answer using an inequality.
x < −25
x < −2
    
x > −25
x > −2
x < 2
(d)
Estimate the x-intercepts. (If an answer does not exist, enter DNE.)
(x, y)
=
 
  
 
 (smaller x-value)
(x, y)
=
 
  
 
 (larger x-value)
(e)
Estimate the y-intercept.
(x, y) = 
 
  
 
(f)
Estimate 
f(8).
 



y
35
30
25
20
15
10
5|
-14-12-10-8-6 -4 -2
-5
4
8.
10
-10
-15
-20
25
-30
2.
Transcribed Image Text:y 35 30 25 20 15 10 5| -14-12-10-8-6 -4 -2 -5 4 8. 10 -10 -15 -20 25 -30 2.
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