Describe how the graphs of square root and cube root functions are similar and how they are different.
Explain why they are different!!!

Respuesta :

Answer:

Just as the square root is a number that, when squared, gives the radicand, the cube root is a number that, when cubed, gives the radicand. Cubing a number is the same as taking it to the third power: 23 is 2 cubed, so the cube root of 23 is 2.

Step-by-step explanation:

there i hope you understood

The graphs of Square root function only continues in one direction forever whereas the cube root function continues in two directions forever.

What is Square root function?

"The principal square root function [tex]f(x) = \sqrt{x}[/tex] (usually just referred to as the "square root function") is a function that maps the set of non negative real numbers onto itself."

What is Cube root function?

"The cube root function [tex]f(x) = \sqrt[3]{x}[/tex]  is a continuous function, with no start or end point. Its domain is all real numbers."

The similarities  in the graphs of square root function and cube root function are positive function (0,∞), x-intercept: intersects x-axis at (0, 0)

y-intercept: intersects y-axis at (0, 0).

The square root function only utilizes the positive square root. If both positive and negative square root values were used, it would not be a function. The cube root function can process  both positive and negative values.

Hence, the graphs of Square root function only continues in one direction forever whereas the cube root function continues in two directions forever.

Learn more about square root and cube root functions here

https://brainly.com/question/14231651

https://brainly.com/question/1870031

https://brainly.com/question/12485222

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