Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question

For each of the following graphs, use interval notation to express the values of x  on which the graph is:

  1. the value of the function is increasing
  2. the value of the function is decreasing
  3. the rate of change of y with respect to x is increasing
  4. the rate of change of y with respect to x is decreasing

Write DNE if there are no intervals of x which satisfy the description.

The graphs, from left to right, are A,B, and C.

 


    1. Function is increasing:    
    2. Function is decreasing:    
    3. Rate of change of y with respect to x is increasing:    
    4. Rate of change of y with respect to x is decreasing:    

    1. Function is increasing:    
    2. Function is decreasing:    
    3. Rate of change of y with respect to x is increasing:    
    4. Rate of change of y with respect to x is decreasing:    

    1. Function is increasing:    
    2. Function is decreasing:    
    3. Rate of change of y with respect to xx is increasing:    
    4. Rate of change of y with respect to xx is decreasing:    
 
For each of the following graphs, use interval notation to express the values of a on which the graph is: i. the value of the function is increasing ii, the value of the function is decreasing iii. the rate of change of y with respect to x is increasing iv, the rate of change of y with respect to a is decreasing Write DNE if there are no intervals of r which satisfy the description. The graphs, from left to right, are A,B, and C. 6- 5+ -3 2 2- A. i. Function is increasing: (-2,2) Preview ii. Function is decreasing: (-o0,-2)U(2,00) Preview Preview iii. Rate of change of y with respect to a is increasing: iv. Rate of change of y with respect to r is decreasing: Preview B. i. Function is increasing: (-00,5) Preview ii. Function is decreasing: (.5,0o) Preview iii. Rate of change of y with respect to z is increasing: Preview iv. Rate of change of y with respect to z is decreasing: Preview C. i. Function is increasing: (-00,-JU[-5,2.5) * Preview ii. Function is decreasing: (-3,-1)U(2.5,00) Preview iii. Rate of change of y with respect to r is increasing: Preview iv. Rate of change of y with respect to x is decreasing: Preview
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Transcribed Image Text:For each of the following graphs, use interval notation to express the values of a on which the graph is: i. the value of the function is increasing ii, the value of the function is decreasing iii. the rate of change of y with respect to x is increasing iv, the rate of change of y with respect to a is decreasing Write DNE if there are no intervals of r which satisfy the description. The graphs, from left to right, are A,B, and C. 6- 5+ -3 2 2- A. i. Function is increasing: (-2,2) Preview ii. Function is decreasing: (-o0,-2)U(2,00) Preview Preview iii. Rate of change of y with respect to a is increasing: iv. Rate of change of y with respect to r is decreasing: Preview B. i. Function is increasing: (-00,5) Preview ii. Function is decreasing: (.5,0o) Preview iii. Rate of change of y with respect to z is increasing: Preview iv. Rate of change of y with respect to z is decreasing: Preview C. i. Function is increasing: (-00,-JU[-5,2.5) * Preview ii. Function is decreasing: (-3,-1)U(2.5,00) Preview iii. Rate of change of y with respect to r is increasing: Preview iv. Rate of change of y with respect to x is decreasing: Preview
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