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Let g (x) = Vx and f (x) = kx², where k is a constant. (a) Find the slope of the tangent line to the graph of g at the point (4, 2). Round your answer to three decimal places. The slope is i (b) Find the equation of this tangent line. Round your answer for y-intercept to the nearest integer. The equation is y = x+ (c) If the graph ofƒ contains the point (4, 2), find k.

Let g (x) = Vx and f (x) = kx², where k is a constant. (a) Find the slope of the tangent line to the graph of g at the point (4, 2). Round your answer to three decimal places. The slope is i (b) Find the equation of this tangent line. Round your answer for y-intercept to the nearest integer. The equation is y = x+ (c) If the graph ofƒ contains the point (4, 2), find k.

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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Let g (x) = Vx and f (x) = kx², where k is a constant. (a) Find the slope of the tangent line to the graph of g at the point (4, 2). Round your answer to three decimal places. The slope is i (b) Find the equation of this tangent line. Round your answer for y-intercept to the nearest integer. The equation is y = i x+ i (c) If the graph of f contains the point (4, 2), find k. Enter the exact answer. k =
Transcribed Image Text:Let g (x) = Vx and f (x) = kx², where k is a constant. (a) Find the slope of the tangent line to the graph of g at the point (4, 2). Round your answer to three decimal places. The slope is i (b) Find the equation of this tangent line. Round your answer for y-intercept to the nearest integer. The equation is y = i x+ i (c) If the graph of f contains the point (4, 2), find k. Enter the exact answer. k =
(d) Where does the graph of f intersect the tangent line found in part (b)? Find a point other than (4, 2). Enter the exact answers.
Transcribed Image Text:(d) Where does the graph of f intersect the tangent line found in part (b)? Find a point other than (4, 2). Enter the exact answers.
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