Use the graph below to answer the question that follows: what trigonometric function represents the graph? Options
f(x)=4sin(x-pi/2)

f(x)=-4sin(x-pi/2)

f(x)=4cos(x-pi/2)

f(x)=-4cos(x-pi/2)

Option (4)

Step-by-step explanation:

From the graph attached,

Equation of the wave function is a cosine function.

Let the graphed function is, f(x) = -Acos(bx - ∅)

Amplitude of the given function,

A = = 4 units

Period = = 2π

b = = 1

Given graph is starting from (0, 0).

Therefore, from the given graph, Phase shift of the cosine curve = ∅ =

Therefore, equation of the given cosine function will be,

f(x) = -4cos(x - )

Option (4) will be the answer.

step-by-step explanation:

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5