Let g be a function such that at each point (x, y) on the graph of g, the slope is given by 2x² – 3x. The graph of g passes through the point (3, 4) and is concave down on the interval 3 < x < 3.5. Let z be the approximation for g (3.2) found by using the locally linear approximation of g at x = 3. Which of the following statements about z is true? dy dx - z = 5.8 and is an underestimate for g (3.2). z = 3.8 and is an overestimate for g (3.2). O z = 3.8 and is an underestimate for g (3.2). O z = 5.8 and is an overestimate for g (3.2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Let g be a function such that at each point (x, y) on the graph of g, the slope is given by
2x² – 3x. The graph of g passes through the point (3, 4) and is concave down on
the interval 3 < x < 3.5. Let z be the approximation for g (3.2) found by using the locally
dy
dx
linear approximation of g at x
=
3. Which of the following statements about z is true?
O z = 5.8 and is an underestimate for g (3.2).
3.8 and is an overestimate for g (3.2).
O
=
O
2 =
z = 3.8 and is an underestimate for g (3.2).
z = 5.8 and is an overestimate for g (3.2).
Transcribed Image Text:Let g be a function such that at each point (x, y) on the graph of g, the slope is given by 2x² – 3x. The graph of g passes through the point (3, 4) and is concave down on the interval 3 < x < 3.5. Let z be the approximation for g (3.2) found by using the locally dy dx linear approximation of g at x = 3. Which of the following statements about z is true? O z = 5.8 and is an underestimate for g (3.2). 3.8 and is an overestimate for g (3.2). O = O 2 = z = 3.8 and is an underestimate for g (3.2). z = 5.8 and is an overestimate for g (3.2).
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