For the given function, state the amplitude and the maximum output for the function: ƒ(t) = 2sin(t).

Maximum output for the function is (2).

Step-by-step explanation:

The given function is f(t) = 2sin(t).

The given function is representing a sine function, in a standard form of

f(x) = asinx

Now we know that a is the amplitude and at t =

Since curve has the maximum output.

f ( )  = asin ( ) = a = 2

Therefore, maximum output of the function is (2).

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: