For the following exercises, use a graph to determine whether the functions are the same or different. If they are the same, show why. If they are different, replace the second function with one that is identical to the first. (Hint: think 2 x = x + x .) 37. f ( x ) = sin ( 2 x ) , g ( x ) = 2 sin x cos x
For the following exercises, use a graph to determine whether the functions are the same or different. If they are the same, show why. If they are different, replace the second function with one that is identical to the first. (Hint: think 2 x = x + x .) 37. f ( x ) = sin ( 2 x ) , g ( x ) = 2 sin x cos x
For the following exercises, use a graph to determine whether the functions are the same or different. If they are the same, show why. If they are different, replace the second function with one that is identical to the first. (Hint: think
2
x
=
x
+
x
.)
37.
f
(
x
)
=
sin
(
2
x
)
,
g
(
x
)
=
2
sin
x
cos
x
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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