Which function is shown in the graph?

Option 3. y = csc ∅ is the right answer.

Step-by-step explanation:

In a function y = cosec ∅  we put the value of ∅ at 0,π/4,π/2,π,3π/2.

y = cosec 0 = ∞ Therefore function is not defined at ∅ = 0

y = cosec π/4 = √2 = 1.41

y = cosec π/2 = 1

y = cosec π = ∞ not defined

y = cosec 3π/2 = -1

y = cosec 2π = ∞ again not defined

While analyzing the value of expression we can say that the graph is of y = cosec ∅.

Similarly if we analyze other expressions for the values of ∅ then the graph will not match.

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.