Find the domain, period, range and amplitude of the cosine function. y=-6cos4x

Domain:

Range: .

Step-by-step explanation:

We have been given formula of trigonometric function .

We know that equation of a cosine function is  , where,

,

Upon looking at our given function we can see that amplitude of our given function is 6.

Therefore, the period of our given function is .

Since the basic cosine function is defined for all x values and it has no domain constraints, therefore, the domain of our given function will be .

We know that the range of basic cosine function is to 1 or .

Upon multiplying the edges of range by we will get,

Therefore, the range of our given function is .

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)