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For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 3. BECER Complete the table. (Do not round until the final answer. Then round to the nearest thousandth as needed.) Interval Slope of the Secant Line [2,3] [2.5,3] [2.9,3] [2.99,3] [2.999,3] It can be conjectured that the slope of the tangent line at x = 3 is (Round to the nearest integer as needed.)

For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 3. BECER Complete the table. (Do not round until the final answer. Then round to the nearest thousandth as needed.) Interval Slope of the Secant Line [2,3] [2.5,3] [2.9,3] [2.99,3] [2.999,3] It can be conjectured that the slope of the tangent line at x = 3 is (Round to the nearest integer as needed.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 3. BECER Complete the table. (Do not round until the final answer. Then round to the nearest thousandth as needed.) Interval Slope of the Secant Line [2,3] [2.5,3] [2.9,3] [2.99,3] [2.999,3] It can be conjectured that the slope of the tangent line at x = 3 is (Round to the nearest integer as needed.)
Transcribed Image Text:For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 3. BECER Complete the table. (Do not round until the final answer. Then round to the nearest thousandth as needed.) Interval Slope of the Secant Line [2,3] [2.5,3] [2.9,3] [2.99,3] [2.999,3] It can be conjectured that the slope of the tangent line at x = 3 is (Round to the nearest integer as needed.)
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