Let g(x) = 2x² - 3. (a) Find the average rate of change from - 6 to 3. (b) Find an equation of the secant line containing (-6, g(-6)) and (3, g(3)). (a) The average rate of change from -6 to 3 is. (Simplify your answer.) (b) An equation of the secant line containing (-6, g(-6)) and (3, g(3)) is . (Type your answer in slope-intercept form.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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Let g(x)=2x² - 3.
(a) Find the average rate of change from - 6 to 3.
(b) Find an equation of the secant line containing (-6, g(-6)) and (3. g(3)).
(a) The average rate of change from 6 to 3 is
(Simplify your answer.)
(b) An equation of the secant line containing (-6, g(-6)) and (3, g(3)) is
(Type your answer in slope-intercept form.)
Transcribed Image Text:Let g(x)=2x² - 3. (a) Find the average rate of change from - 6 to 3. (b) Find an equation of the secant line containing (-6, g(-6)) and (3. g(3)). (a) The average rate of change from 6 to 3 is (Simplify your answer.) (b) An equation of the secant line containing (-6, g(-6)) and (3, g(3)) is (Type your answer in slope-intercept form.)
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