Compare and Contrast: Square Root vs Cube Root Functions 6. Using the included equations, Compare Square Root and Cube Root Functions: Increasing or Decreasing? * 1 point Both graphs are decreasing f(x) is increasing, but g(x) is decreasing g(x) is increasing, but f(x) is decreasing Both graphs are increasing
Both the square root and cube root functions are increasing functions.
The square root function, f(x) = √x, increases as x increases. As the input value increases, the output value also increases, but at a decreasing rate. For example, the square root of 1 is 1, the square root of 4 is 2, and the square root of 9 is 3.
Similarly, the cube root function, g(x) = ∛x, also increases as x increases. However, it increases at a faster rate compared to the square root function. For example, the cube root of 1 is 1, the cube root of 8 is 2, and the cube root of 27 is 3.
Therefore, the correct answer is: Both graphs are increasing.