Do the following for the function f(x) = 6x? + 5x. (a) Express the slope of the secant line in terms of x and h. (b) Find mae for h= 0.5, 0.1, and 0.01 at x = 1. What value does mec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph f and the secant line found in part (c) on the same viewing window. (a) Type the slope of the secant line in terms of x and h. mgec -O (Simplify your answer. Do not factor.) (b) For h = 0.5 at x = 1, mec =D (Round to two decimal places as needed.) For h = 0.1 at x = 1, mec "O (Round to two decimal places as needed.) For h = 0.01 at x= 1, m,gec O (Round to two decimal places as needed.) As happroaches 0, mec approaches (Type an integer or a decimal.) (e) The equation for the secant line at x = 1 with h = 0.01 is y =O (Type the expression in slope-intercept form. Round coefficients to two decimal places as needed.) (d) Which of the following is the graph of f and the secant line? OA. O B. Oc. Q
Do the following for the function f(x) = 6x? + 5x. (a) Express the slope of the secant line in terms of x and h. (b) Find mae for h= 0.5, 0.1, and 0.01 at x = 1. What value does mec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph f and the secant line found in part (c) on the same viewing window. (a) Type the slope of the secant line in terms of x and h. mgec -O (Simplify your answer. Do not factor.) (b) For h = 0.5 at x = 1, mec =D (Round to two decimal places as needed.) For h = 0.1 at x = 1, mec "O (Round to two decimal places as needed.) For h = 0.01 at x= 1, m,gec O (Round to two decimal places as needed.) As happroaches 0, mec approaches (Type an integer or a decimal.) (e) The equation for the secant line at x = 1 with h = 0.01 is y =O (Type the expression in slope-intercept form. Round coefficients to two decimal places as needed.) (d) Which of the following is the graph of f and the secant line? OA. O B. Oc. Q
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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