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

See similar textbooks

Similar questions

YOUR TURN For the graph of f(x)=x2x, a find the equation of the secant line through the points where x=2 and x=1, and b find the equation of the tangent line at x=2.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage