Chapter 9.7, Problem 33HP

To determine

To describe: the different representations that are possible for a function, to find whether a function is linear.

Answer to Problem 33HP

There are four ways to represent a function.

Explanation of Solution

A function can be represents in four different ways.

They are verbally, visually, numerically and algebraically.

Verbally means a function is represented by using the words.

Example:

The value of a flat is a function of the age of the flat. As the flat gets older, its value decreases is a verbal description.

Visually means the function is described by using the graphical representation.

Example:

  $y$ is a function of $x$ , $y=2x^2$ .

  

Numerically means the problem is solved by using the tabular values of the function.

Example:

$x$	$y$
$-4$	13
$-2$	0
0	4
2	0

Algebraically means the function is defined by using the equation or formula.

Example: area of a rectangle $A=lw$ , define domain and range.

So, there are four ways to represent a function.