A function fis given. f(x) = sin(4x) 2x (a) Is f even, odd, or neither? O even O odd O neither X = (c) Graph f in an appropriate viewing rectangle. 15 (b) Find the x-intercepts of the graph of f on the interval 0 ≤ x ≤ T. (Round your answers to two decimal places. Enter your answers as a comma-separated list.) 10 O 5 0 -5 <-10 -15 O -6 2.5 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 -6 -4 -4 -2 -2 0 2 0 2 (d) Describe the behavior of the function as x → ±00. O f(x) approaches +∞ as x → too. 4 4 6 6 O O 15 10 O f(x) approaches -coas x→ + and f(x) approaches + as x →-00. O f(x) approaches 2 as x → ±00. O f(x) approaches 0 as x→ too. Of(x) approaches + as x→ + and f(x) approaches - as x→-00. 5 0 -10 -5 -15 -6 O... EEG1004 Homepage 2.5 2.0 1.5 1.0 0.5 0.0 -0.5 -1.05 -6 -4 -4 -2 0 -2 Wh 2 0 4 EG EG1004 Manual 2 4 6 IIEE 6 ExpertChat | Math..
A function fis given. f(x) = sin(4x) 2x (a) Is f even, odd, or neither? O even O odd O neither X = (c) Graph f in an appropriate viewing rectangle. 15 (b) Find the x-intercepts of the graph of f on the interval 0 ≤ x ≤ T. (Round your answers to two decimal places. Enter your answers as a comma-separated list.) 10 O 5 0 -5 <-10 -15 O -6 2.5 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 -6 -4 -4 -2 -2 0 2 0 2 (d) Describe the behavior of the function as x → ±00. O f(x) approaches +∞ as x → too. 4 4 6 6 O O 15 10 O f(x) approaches -coas x→ + and f(x) approaches + as x →-00. O f(x) approaches 2 as x → ±00. O f(x) approaches 0 as x→ too. Of(x) approaches + as x→ + and f(x) approaches - as x→-00. 5 0 -10 -5 -15 -6 O... EEG1004 Homepage 2.5 2.0 1.5 1.0 0.5 0.0 -0.5 -1.05 -6 -4 -4 -2 0 -2 Wh 2 0 4 EG EG1004 Manual 2 4 6 IIEE 6 ExpertChat | Math..
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:A function f is given.
f(x) = sin(4x)
2x
(a) Is f even, odd, or neither?
O even
O odd
O neither
X =
(b) Find the x-intercepts of the graph of f on the interval 0 ≤ x ≤ T. (Round your answers to two decimal places. Enter your answers as a comma-separated list.)
(c) Graph f in an appropriate viewing rectangle.
15
10
O
5
0
-5
-10
-15
-6
2.5
O
2.0
1.5
W
1.0
0.5
0.0
-0.5
-1.0
-4
-6
-2
-4
0
-2
2
0
2
4
4
6
O
(d) Describe the behavior of the function as x → ±00.
O f(x) approaches +∞o as x→ ±00.
O f(x) approaches -∞o as x→ +0o and f(x) approaches +∞o as x →-co.
O f(x) approaches 2 as x → ±00.
O f(x) approaches 0 as x ±00.
O f(x) approaches +∞o as x→ +∞o and f(x) approaches - as x→-00.
15
10
5
0
-51
-10
-15
-6
2.5
2.0
1.5
1.0
0.5
0.0
-0.5
-1.0
YO... EGJEG1004 Homepage EG EG1004 Manual IIEE
-6
-4
-4
-2
-2
0
2
0
4
ham
2
6
4
ExpertChat | Math...
6
W
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