Domain and Range

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 of a function is 'All real numbers'?

Back

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

Front

If a function has a range of y ≥ -3, what does this indicate about its outputs?

Back

This indicates that the function's outputs (y-values) are all greater than or equal to -3.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values for which the graph exists.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying the y-values that the graph reaches.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is always 'All real numbers'.

Front

What is the range of the function y = x^2?

Back

The range is y ≥ 0, since the output of x^2 is always non-negative.

Front

If a function has a range of -7 ≤ y ≤ 3, what does this mean?

Back

This means that the outputs of the function are limited to values between -7 and 3, inclusive.

Front

What is the significance of the notation 'y > -2'?

Back

This indicates that the function's outputs are greater than -2, not including -2 itself.