Using the formulaformulaformula and the graph, describe a functionfunctionfunction whose domaindomaindomain is the set X = {2, 3, 4, 5} and that:

a) assigns the x length of the side to the perimeter of a square,
b) assigns the x length of the radius to the area of a circle,
c) assigns the x length of the side to the volume of a cube,
d) assigns the x length of the cathetus to the area of an isosceles, right‑angled triangle.

Function $f:X\to Y$ is presented using the tabletabletable.

Give the domaindomaindomain and the rangerange range of the function f.

Draw a graphgraph graph illustrating this function.

Write down the formulaformulaformula and make a plotplotplot of the function f whose domaindomaindomain is the set X = {-2, -1, 1, 2, 3}.

FunctionfunctionFunction f assigns to every number x belonging to the domain:

a) the product of this number and -2,
b) the number smaller by 3,
c) the square of this number,
d) the multiplicate inverse of the number.

An extra task:

The tabletabletable illustrates the function $f\left(x\right)=ax+b,$ where a and b are any numbers. Find numbers $a$ and $b$.

Choose the formula of a function described with this table.

Which table does not illustrate a function?

a)

b)

c)

d)

Draw a graphgraph graph of the function $f\left(x\right)=2x-2,$ while its domain is the set of real numbers. Describe the solution in English.