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

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

Back

The domain can be determined by identifying the x-values that the graph covers.

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 covers.

Front

What does it mean for a function to have a range of all real numbers greater than or equal to -6?

Back

It means that the lowest output value of the function is -6, and it can take any value greater than -6.

Front

If a function has a domain of all real numbers greater than or equal to -7 and less than 2, what does this imply?

Back

It implies that the function is defined for x-values starting from -7 up to, but not including, 2.

Front

What is an example of a function with a range of all real numbers greater than or equal to 10?

Back

An example is f(x) = x + 10, where the output is always 10 or greater.

Front

What is the significance of the maximum height of a projectile in relation to its domain?

Back

The maximum height indicates the peak of the function, and the domain is limited to the time interval during which the projectile is in the air.

Front

How can you express the range of a function that outputs values between 0 and 300?

Back

The range can be expressed as all real numbers greater than or equal to 0 and less than or equal to 300.

Front

What is the domain of a function that models the height of a ball thrown into the air?

Back

The domain is typically the time interval from when the ball is thrown until it hits the ground.