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Explain what is meant by domain and range.

Answer 1

Domain are the values of x-coordinates

Range are the values of y-coordinates

Explanation:

In the set of ordered pairs {(-2, 0), (0, 6), (2, 12), (4, 18)}, the domain is the set of the first number in every pair (those are the x-coordinates): {-2, 0, 2, 4}. The range is the set of the second number of all the pairs (those are the y-coordinates): {0, 6, 12, 18}.

{(-2, 0), (0, 6), (2, 12), (4, 18)}

Domain: {-2, 0, 2, 4}.

Range: {0, 6, 12, 18}

Answer 2

Domain- set of x-values

Range- set of y-values

Explanation:

Domain

• The domain of a function is the complete set of possible values of the independent variable.

• The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

When finding the domain:

• The denominator (bottom) of a fraction cannot be zero
• The number under a square root sign must be positive in this section

Range

• The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
• The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range

• The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)
• Substitute different x-values into the expression for y to see what is happening.
• Make sure you look for minimum and maximum values of y.
• Draw a sketch!