The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant line PQ for the following values of x. If x= 2.1, the slope of PQ is: and if x = 2.01, the slope of PQ is: and if x 1.9, the slope of PQ is: and if x = 1.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(2, 2).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant line PQ for the following values of x.
If x = 2.1, the slope of PQ is:
and if x = 2.01, the slope of PQ is:
and if x = 1.9, the slope of PQ is:
and if x = 1.99, the slope of PQ is:
Based on the above results, guess the slope of the tangent line to the curve at P(2, 2).
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Transcribed Image Text:The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant line PQ for the following values of x. If x = 2.1, the slope of PQ is: and if x = 2.01, the slope of PQ is: and if x = 1.9, the slope of PQ is: and if x = 1.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(2, 2). → ← D ->
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