Question

True or False?

The domain and range of a cube root function are always all real numbers.

Answer 1

The statement is true; the domain and range of a cube root function are indeed all real numbers, illustrating its flexibility in both input and output values on a two-dimensional graph.

Step-by-step explanation:

The statement "The domain and range of a cube root function are always all real numbers." is True. A cube root function can accept any real number as its input, meaning the domain is all real numbers. Similarly, a cube root function can produce any real number as its output, so the range is also all real numbers. This is unlike a quadratic function, where the output is limited by the parabola's minimum or maximum value. The cube root function is involved in Two-Dimensional (x-y) Graphing, and it's a useful concept when dealing with physical data, where quadratic equations can have real roots with positive values being significant.

Answer 2

True

For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).

Hope that helps!

Step-by-step explanation: