cube root function
The cube root function, represented as f(x) = ∛x or f(x) = x^(1/3), is a mathematical function that calculates the value that, when cubed, equals a given input value
The cube root function, represented as f(x) = ∛x or f(x) = x^(1/3), is a mathematical function that calculates the value that, when cubed, equals a given input value. It is the inverse function of the cube function, which raises a number to the power of 3.
The cube root function is defined for all real numbers and has a domain of (-∞, ∞) and a range of (-∞, ∞). The graph of the cube root function resembles a curving line that passes through the points (0,0), (1,1), and (-1,-1). It approaches negative infinity as the input approaches negative infinity and approaches positive infinity as the input approaches positive infinity.
To find the cube root of a number, you can either use a calculator or evaluate it manually. Here’s an example:
Find the cube root of 27.
Using a calculator, you would simply input 27 and find that the cube root of 27 is 3.
To evaluate it manually, you can use the exponentiation property of fractional exponents:
27^(1/3) = (27^(1))^(1/3) = 27^(1/3) = 3
Therefore, the cube root of 27 is 3.
The cube root function is important in various areas of mathematics and other fields. It is utilized in solving equations, graphing, analyzing data, and in physics and engineering applications for calculating volume and dimensions.
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