For the following exercises, graph one full period of each function , starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum x -values and their corresponding x -values on one period for x > 0. State the phase shift and vertical translation, if applicable. Round answers to two decimal places if necessary. 21. f ( t ) = − sin ( 1 2 t + 5 π 3 )
For the following exercises, graph one full period of each function , starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum x -values and their corresponding x -values on one period for x > 0. State the phase shift and vertical translation, if applicable. Round answers to two decimal places if necessary. 21. f ( t ) = − sin ( 1 2 t + 5 π 3 )
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum x-values and their corresponding x-values on one period for x > 0. State the phase shift and vertical translation, if applicable. Round answers to two decimal places if necessary.
21.
f
(
t
)
=
−
sin
(
1
2
t
+
5
π
3
)
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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