K Let f(x)=3-x² and let a=-3. Complete parts (a) through (d) below. a. Find the linear approximation L for the function f at the point a L(x)= b. Graph fand L on the same set of axes. Use the graphing tool to graph the functions. Click to enlarge graph c. Based on the graphs in part (b), state whether linear approximations to f near a are underestimates or overestimates Linear approximations to f(x)=3-x near a=-3 are the graph of t near a d. Compute!'(a) to confirm the conclusion in part (c) The value of f(x) at a = -3 is f'(-3)=, which is confirming the conclusion in part (c) concave because the graph of L 0. This means that fis 10 18 16 12 42 ROO
K Let f(x)=3-x² and let a=-3. Complete parts (a) through (d) below. a. Find the linear approximation L for the function f at the point a L(x)= b. Graph fand L on the same set of axes. Use the graphing tool to graph the functions. Click to enlarge graph c. Based on the graphs in part (b), state whether linear approximations to f near a are underestimates or overestimates Linear approximations to f(x)=3-x near a=-3 are the graph of t near a d. Compute!'(a) to confirm the conclusion in part (c) The value of f(x) at a = -3 is f'(-3)=, which is confirming the conclusion in part (c) concave because the graph of L 0. This means that fis 10 18 16 12 42 ROO
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
100%
![K
Let f(x)=3-x² and let a=-3. Complete parts (a) through (d) below.
a. Find the linear approximation L for the function f at the point a
L(x)=
b. Graph fand L on the same set of axes. Use the graphing tool to graph the functions.
Click to
enlarge
graph
c. Based on the graphs in part (b), state whether linear approximations to f near a are
underestimates or overestimates
Linear approximations to f(x)=3-x near a=-3 are
the graph of t near a
d. Compute!'(a) to confirm the conclusion in part (c)
The value of f(x) at a = -3 is f'(-3)=, which is
confirming the conclusion in part (c)
concave
because the graph of L
0. This means that fis
10
18
16
12
42
ROO](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7c4d49d-7252-4d70-b3db-c47e8f4939c6%2F47ee5b77-9db8-492f-9a51-8a951d22979c%2Ff6gs8c_processed.png&w=3840&q=75)
Transcribed Image Text:K
Let f(x)=3-x² and let a=-3. Complete parts (a) through (d) below.
a. Find the linear approximation L for the function f at the point a
L(x)=
b. Graph fand L on the same set of axes. Use the graphing tool to graph the functions.
Click to
enlarge
graph
c. Based on the graphs in part (b), state whether linear approximations to f near a are
underestimates or overestimates
Linear approximations to f(x)=3-x near a=-3 are
the graph of t near a
d. Compute!'(a) to confirm the conclusion in part (c)
The value of f(x) at a = -3 is f'(-3)=, which is
confirming the conclusion in part (c)
concave
because the graph of L
0. This means that fis
10
18
16
12
42
ROO
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