Domain and Range

Front

What is the definition of 'Domain' in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of 'Range' in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

What does it mean for a function to have a domain of all real numbers greater than or equal to 0?

Back

It means that the function accepts any real number starting from 0 and extending to positive infinity.

Front

If a function has a range of all real numbers greater than or equal to -6, what does this imply about its output values?

Back

The output values can be -6 and any number greater than -6.

Front

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

Back

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

Front

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

Back

The range can be found by identifying the y-values that the graph covers.

Front

What is an example of a function with a domain of all real numbers?

Back

f(x) = x is a function where the domain is all real numbers.

Front

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

Back

f(x) = x^2 + 10 is a function where the range is all real numbers greater than or equal to 10.

Front

What does it mean for a function to have a domain of all real numbers greater than or equal to -7 and less than 2?

Back

It means the function accepts any real number starting from -7 up to, but not including, 2.

Front

What is the significance of the maximum height in a projectile motion graph?

Back

The maximum height represents the highest point the object reaches during its motion.