Domain and Range - Practice

Front

What is the definition of DOMAIN in a function?

Back

The DOMAIN of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the definition of RANGE in a function?

Back

The RANGE of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean if the DOMAIN is 'All real numbers'?

Back

It means that the function can accept any real number as an input.

Front

If a function has a DOMAIN of -4 ≤ x ≤ 3, what does this indicate?

Back

This indicates that the function is defined for all x-values from -4 to 3, inclusive.

Front

What does the notation y ≥ -4 signify in terms of RANGE?

Back

It signifies that the output values (y-values) of the function are greater than or equal to -4.

Front

How do you express a RANGE of -2 ≤ y ≤ 10?

Back

This means that the function's output values (y-values) can take any value from -2 to 10, inclusive.

Front

What is the significance of the notation y ≤ 6 in a function's RANGE?

Back

It indicates that the function's output values (y-values) can be any value less than or equal to 6.

Front

What does the notation -10 ≤ y ≤ 6 represent?

Back

It represents that the function's output values (y-values) are between -10 and 6, inclusive.

Front

If a graph shows a DOMAIN of -1 < x < 4, what does this mean?

Back

It means that the function is defined for x-values greater than -1 and less than 4, but not including -1 and 4.

Front

What is the difference between a closed interval and an open interval in DOMAIN and RANGE?

Back

A closed interval includes its endpoints (e.g., [a, b]), while an open interval does not include its endpoints (e.g., (a, b)).