Periodic Function The function f is periodic, with period c . So , f t + c = f t . Determine whether each statement is true or false. Explain. a f t − 2 c = f t b f t + 1 2 c = f 1 2 t c f 1 2 t + c = f 1 2 t d f 1 2 t + 4 c = f 1 2 t
Periodic Function The function f is periodic, with period c . So , f t + c = f t . Determine whether each statement is true or false. Explain. a f t − 2 c = f t b f t + 1 2 c = f 1 2 t c f 1 2 t + c = f 1 2 t d f 1 2 t + 4 c = f 1 2 t
Solution Summary: The author analyzes whether the statement f(t+c)=f
Periodic Function The function
f
is periodic, with period
c
.
So
,
f
t
+
c
=
f
t
.
Determine whether each statement is true or false. Explain.
a
f
t
−
2
c
=
f
t
b
f
t
+
1
2
c
=
f
1
2
t
c
f
1
2
t
+
c
=
f
1
2
t
d
f
1
2
t
+
4
c
=
f
1
2
t
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.
Use the graph of y = f(x) to answer the following question.
On what interval(s) is f increasing, decreasing, or constant?
Identify the interval(s) over which the function f is increasing.
(Type your answer in interval notation. Use integers or fractions for any numbers in the
expression. Use a comma to separate answers as needed.)
-13
(-7,3)
(-9, -3)
(-5,0)
(-8.5,0)
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
6.
(-3,-5)
(0, -1)
(4,0)
-6
(-1,-3)
(6,2)
(3,-1)
y = f(x)
(8,0)
13X
State the intervals on which each given function is increasing, decreasing, or constant.
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