Domain and Range

Front

What is the definition of RANGE in mathematics?

Back

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

Front

What is the definition of DOMAIN in mathematics?

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 RANGE of the function f(x) = x^2?

Back

[0, ∞) - The output values start from 0 and go to positive infinity.

Front

What is the RANGE of the function f(x) = sin(x)?

Back

[-1, 1] - The sine function oscillates between -1 and 1.

Front

What is the RANGE of the function f(x) = e^x?

Back

(0, ∞) - The exponential function approaches 0 but never reaches it.

Front

What is the RANGE of the function f(x) = 1/x?

Back

(-∞, 0) U (0, ∞) - The function can take any real number except 0.

Front

What is the DOMAIN of the function f(x) = √x?

Back

[0, ∞) - The square root function is defined for non-negative values.

Front

What is the DOMAIN of the function f(x) = 1/(x-2)?

Back

(-∞, 2) U (2, ∞) - The function is undefined at x = 2.

Front

What is the RANGE of the function f(x) = x^3?

Back

All real numbers - The cubic function can produce any real number.

Front

What is the RANGE of the function f(x) = |x|?

Back

[0, ∞) - The absolute value function outputs non-negative values.