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Domain and Range 2 Name Class Student Activity Open the Inspire document Domain and Range 2.TNS. What can a graph tell you about domain and range? In this activity, you will explore visual representations
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Point by point how to fill out domain and range 2:

01
Start by identifying the given function or relation. This could be in the form of an equation, a graph, or a table of values.
02
Determine the set of input values for the function or relation. These input values are known as the domain. Write down all the possible values that the independent variable (usually denoted as "x") can take.
03
Consider any restrictions or limitations on the domain. Some functions may have certain values of x that are not allowed. For example, if you have a square root function, the radicand (the number under the square root) cannot be negative, so you need to exclude any values of x that would result in a negative radicand.
04
Write down the domain as a set of numbers or as an interval, depending on the nature of the function or relation. For example, if the function can take any real number as input, the domain would be expressed as (-∞, +∞), indicating that x can be any real number.
05
Moving on to the range, determine the set of output values that the function or relation produces. These output values are known as the range. Write down all the possible values that the dependent variable (usually denoted as "y") can take.
06
Consider any restrictions or limitations on the range. Some functions may have certain values of y that are not included. For example, if you have a function that represents the height of an object, the range cannot be negative, so you need to exclude any negative values of y.
07
Write down the range as a set of numbers or as an interval, depending on the nature of the function or relation. For example, if the function can produce any real number as output, the range would be expressed as (-∞, +∞), indicating that y can be any real number.

Who needs domain and range 2:

01
Students studying mathematics, particularly those learning about functions and relations, need to understand how to determine the domain and range of a given function or relation.
02
Engineers and scientists often work with various mathematical models and functions, and they need to determine the domain and range to ensure the validity and practicality of their calculations.
03
Data analysts and statisticians use the concept of domain and range to analyze and interpret data, as it helps them understand the limitations and possible outcomes of the variables they are studying.
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