Answer part i and iii. ACTIVITY 3: Estimating slope of a tangent line, limits of a function & One-sided limits· Estimate the slope of a line tangent to the curve f (x) = -2x? + 3x + 5 atpoint P(1, f(1))by doing the following step.Sketch the graph of f(x) and make a tangent line at point P. Label the graph andthe tangent line.Consider point Q(2.5, f(2.5)) along with the graph of f(x). Make a lineconnecting point P and point Q. Label the line by "Secant Line PQ". Find the slopempg of the secant line PQ.Let the point Q(x, ƒ(x)) be the arbitrary point along the graph of f(x) where thevalue of x must be in between 1 and 2.5 (i.e. 1< x < 2.5). Let P(x1,y1) =P(1, f(1)) and Q(x2, y2) = Q(x, f(x), find the expression of the slope mpQ-Note: The expression of the slope mpo is a function of x.(Hint: mpo(x) = *-Y1)A.i.ii.ii.X2-X1iv.Give at least 5 values for x beginning from x = 2.5 that moves closer and closerto x = 1. Substitute these values to the expression of the slope mpQ(x). Makesure that your chosen x's can approximate the slope for the tangent line. Showyour computation and make a table of values as shown below. (Round off theslope up to 6 decimal places)mpQ(x)2.5V.Determine the exact value of the slope of tangent line based on where the valuesof slope mpo is approaching as x approaches 1?

We are given the curve, fx=-2x2+3x+5 We need to make a tangent line at the point P1,f1.…

ACTIVITY 3: Estimating slope of a tangent line, limits of a function & One-sided limits Estimate the slope of a line tangent to the curve f(x) -2x² + 3x + 5 at point P(1, f(1))by doing the following step. Sketch the graph of f(x) and make a tangent line at point P. Label the graph and the tangent line. ii. A. i. Consider point Q(2.5, f(2.5)) along with the graph of f(x). Make a line connecting point P and point Q. Label the line by "Secant Line PQ". Find the slope mpg of the secant line PQ. iii. Let the point Q(x, f(x)) be the arbitrary point along the graph of f(x) where the value of x must be in between 1 and 2.5 (i.e. 1

ACTIVITY 3: Estimating slope of a tangent line, limits of a function & One-sided limits Estimate the slope of a line tangent to the curve f(x) -2x² + 3x + 5 at point P(1, f(1))by doing the following step. Sketch the graph of f(x) and make a tangent line at point P. Label the graph and the tangent line. ii. A. i. Consider point Q(2.5, f(2.5)) along with the graph of f(x). Make a line connecting point P and point Q. Label the line by "Secant Line PQ". Find the slope mpg of the secant line PQ. iii. Let the point Q(x, f(x)) be the arbitrary point along the graph of f(x) where the value of x must be in between 1 and 2.5 (i.e. 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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