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The point P(4,4) lies on the curve y = √x + 2. If Q is the point (x, √x + 2), find the slope of the secant line PQ for the following values of x. If x= 4.1, the slope of PQ is: and if x 4.01, the slope of PQ is: and if x = 3.9, the slope of PQ is: and if x = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4,4).

The point P(4,4) lies on the curve y = √x + 2. If Q is the point (x, √x + 2), find the slope of the secant line PQ for the following values of x. If x= 4.1, the slope of PQ is: and if x 4.01, the slope of PQ is: and if x = 3.9, the slope of PQ is: and if x = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4,4).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 8.14EP
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The point P(4,4) lies on the curve y = √x + 2. If Q is the point (x, √x + 2), find the slope of the secant line PQ for the following values of x. If x= 4.1, the slope of PQ is: and if x = 4.01, the slope of PQ is: and if x = 3.9, the slope of PQ is: and if x = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4,4).
Transcribed Image Text:The point P(4,4) lies on the curve y = √x + 2. If Q is the point (x, √x + 2), find the slope of the secant line PQ for the following values of x. If x= 4.1, the slope of PQ is: and if x = 4.01, the slope of PQ is: and if x = 3.9, the slope of PQ is: and if x = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4,4).
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