For Exercises 1-16, identify which functions shown here ( f , g , h , and so on) have the given characteristics f x = sin π 2 x + 3 g x = − 3 cos 1 2 x − π 4 h x = 3 sin − 1 2 x − π 5 k x = − 3 sec 2 x + π m x = 2 csc 2 x − π 2 − 3 n x = 3 tan x − π 2 p x = − 2 cot 1 2 x + π t x = − 3 + 2 cos x Has a range of all real numbers
For Exercises 1-16, identify which functions shown here ( f , g , h , and so on) have the given characteristics f x = sin π 2 x + 3 g x = − 3 cos 1 2 x − π 4 h x = 3 sin − 1 2 x − π 5 k x = − 3 sec 2 x + π m x = 2 csc 2 x − π 2 − 3 n x = 3 tan x − π 2 p x = − 2 cot 1 2 x + π t x = − 3 + 2 cos x Has a range of all real numbers
Solution Summary: The author explains that the following functions have a range of all real numbers: f(x)=mathrmsin
For Exercises 1-16, identify which functions shown here (
f
,
g
,
h
,
and so on) have the given characteristics
f
x
=
sin
π
2
x
+
3
g
x
=
−
3
cos
1
2
x
−
π
4
h
x
=
3
sin
−
1
2
x
−
π
5
k
x
=
−
3
sec
2
x
+
π
m
x
=
2
csc
2
x
−
π
2
−
3
n
x
=
3
tan
x
−
π
2
p
x
=
−
2
cot
1
2
x
+
π
t
x
=
−
3
+
2
cos
x
Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).
2-x
Q.1 Write the function f (x) =
as the sum of
cos.x +3x?
an even and odd functions.
Assume that the number of hours of daylight in New Orleans in 1994 is given by the function
D(x) =
7
3
sin
2?
365
x
+
35
3
,
where x represents the number of days after March 21.
(a) Find the number of hours of daylight on January 1, May 9 and October 12. (Round your answers to two decimal places.)
January 1
hr
May 9
hr
October 12
hr
(b) On what days of the year will there be approximately 10 hours of daylight? (Enter your answers in chronological order after March 21, 1994.)
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