Answer
$1.$ Verbal
Simple verbal representation of how we get an output from a function for a given input.
$2.$ Algebraic
An algebraic expression of a function is just a formula that includes a variable.
$3.$ Visual
Visual representation of a function is the same as a graph of a function.
$4.$ Numerical
Numerical representation is the same as a table of values.
Work Step by Step
$1.$ Verbal
For example:
"To calculate the area of a triangle, we have to multiply its height by the base (the base that is connected to the height) and then divide by $2$"
$2.$ Algebraic
Surface area of a sphere: $A(r)=4\pi r$
Algebraic expression of a function is just a formula that includes a variable.
$3.$ Visual
Visual representation of a function is the same as a graph. For example, in the image below you can see visual representation of $f(x)=2x^3$
$4.$ Numerical
Numerical representation is the same as a table of values. For example, we can write a relation of total cost of a product for a given weight:
Weight - $w$ $kg$
Cost - $C$ $\$$
$w=0.5$
$C=1.5$
$w=1$
$C=3$
$w=1.5$
$C=4.5$
$w=2$
$C=6$
$w=3$
$C=9$