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iv. f(0) = Preview v. lim f(x) = Preview %3D vi. lim f(x) エ→7* Preview %3D

iv. f(0) = Preview v. lim f(x) = Preview %3D vi. lim f(x) エ→7* Preview %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Iv v and vi

Determine the behavior of the functions defined below. Note that it is common to write "f(x) f(x) increases without bound - use that notation below if needed. If a limit does not exist or the function is → " to indicate undefined, write DNE. 7x3 + 8x a. Consider f(x) Complete the following equations. x2 – 7x i. lim f(x) = Preview x→0 ii. lim f(x) = Preview || x→0+ iii. lim f(x) Preview || iv. f(0) Preview v. lim f(x) = x→7 Preview vi. lim f(x) = Preview vii. lim f(x): Preview x→7 viii. f(7) Preview ix. lim f(x) Preview x→00 lim f(x) Preview X. x→-00 b. Based on your work in part a, on what interval(s) is f(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.
Transcribed Image Text:Determine the behavior of the functions defined below. Note that it is common to write "f(x) f(x) increases without bound - use that notation below if needed. If a limit does not exist or the function is → " to indicate undefined, write DNE. 7x3 + 8x a. Consider f(x) Complete the following equations. x2 – 7x i. lim f(x) = Preview x→0 ii. lim f(x) = Preview || x→0+ iii. lim f(x) Preview || iv. f(0) Preview v. lim f(x) = x→7 Preview vi. lim f(x) = Preview vii. lim f(x): Preview x→7 viii. f(7) Preview ix. lim f(x) Preview x→00 lim f(x) Preview X. x→-00 b. Based on your work in part a, on what interval(s) is f(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.
Expert Solution
Step 1

f(x) =7x3+8xx2-7x(iv) f(0) = ?f(x) = x7x2+8x(x-7)=7x2+8x-7f(0) =0+80-7=-87⇒ f(0)=-87(v) limx→7- f(x) limx→7- 7x2+8x-7= 7(7)2+87-7=-∞ limx→7- f(x) = -∞ 

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