Access Millions of academic & study documents

13 1 2 incr decr extrema

Content type
User Generated
Showing Page:
1/4

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/4

Sign up to view the full document!

lock_open Sign Up
Showing Page:
3/4

Sign up to view the full document!

lock_open Sign Up
End of Preview - Want to read all 4 pages?
Access Now
Unformatted Attachment Preview
13.1 Increasing and Decreasing and 13.2 Relative Max and Min Increasing – A graph is increasing if the y-values are increasing as x increases. We state the intervals OF X where the graph is increasing: (a, b) Decreasing – A graph is decreasing if the y-values are decreasing as x increases. We state the intervals OF X where the graph is decreasing: (a, b) Relative Max – The point where a graph changes from increasing to decreasing. Relative Min – The point where a graph changes from decreasing to increasing. GRAPHICALLY Ex) Given the graph below, state the interval of x where it is increasing and decreasing and find the relative max and min points. ( )( ) • Increasing: −2,1 3,∞ ! from x = -2 to 1 and from x = 3 up • Decreasing: −∞,−2 1,3 ! from x = 1 to 3 and from x = -2 down • Rel Max: (1, 2) this is a point • Rel. Min: (-2, -5) and (3, 1) these are points ( )( ) ALGEBRAICALLY The graph is increasing wherever the tangents have positive slope - ! f ′(x) > 0 The graph is decreasing wherever the tangents have negative slope - ! f ′(x) < 0 1. Find the derivative, ! f ′(x) 2. Set the ! f ′(x) = 0 and solve for x – these are the critical n ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.
Studypool
4.7
Indeed
4.5
Sitejabber
4.4

Similar Documents