Which of the following statements are true? Check all that apply

A. Liquid water expands with increasing temperature above 4°C
B. Solid ice is less dense than liquid water
C. Water contracts as it freezes at 0°C
D. Liquid water expands with increasing temperature between 0°C and 4°C.

A. Liquid water expands with increasing temperature above 4°C

B. Solid ice is less dense than liquid water

Explanation:

(A) Liquid water expands with increasing temperature above 4°C

This is correct : Above 4°C, increase in the temperature causes the liquid water to expand.

(B) Solid ice is less dense than liquid water

This is correct: frozen water molecules ( solid ice ) take a more defined crystalline structures which is less dense than that of the molecules in liquid form.

(C) Water contracts as it freezes at 0°C

wrong: rather water contracts on heating from 0°C to 4°C

(D) Liquid water expands with increasing temperature between 0°C and 4°C

wrong: rather liquid water expands with increasing temperature above 4°C

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .