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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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 mer for h= 0.5, 0.1, and 0.01 at x = 1. What value does mer approach as h approaches 0?
(c) Find the equation for the secant line at x = 1 with h = 0.01.
(a) 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, mgac =O
(Round to two decimal places as needed.)
For h = 0.1 at x =1, mgec =D
(Round to two decimal places as needed.)
For h = 0.01 at x = 1, mgec
(Round to two decimal places as needed.)
As happroaches 0, mgec approaches
(Type an integer or a decimal.)
(c) The equation for the secant line at x = 1 with h = 0.01 is y =D
(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.
OB.
Oc.
20
20
of
Transcribed Image Text: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 mer for h= 0.5, 0.1, and 0.01 at x = 1. What value does mer approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (a) 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, mgac =O (Round to two decimal places as needed.) For h = 0.1 at x =1, mgec =D (Round to two decimal places as needed.) For h = 0.01 at x = 1, mgec (Round to two decimal places as needed.) As happroaches 0, mgec approaches (Type an integer or a decimal.) (c) The equation for the secant line at x = 1 with h = 0.01 is y =D (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. OB. Oc. 20 20 of
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