Question

Is y=1/4x^0.5 a power function? Explain your reasoning.

Answer 1

The equation y = 1/4x^0.5 is not a power function, but a square root function instead.

Step-by-step explanation:

No, the equation y = 1/4x^0.5 is not a power function. A power function is defined as an equation in the form y = ax^b, where a and b are constants. In the given equation, the exponent is 0.5, which is not a constant. Therefore, it doesn't fit the definition of a power function. The equation can be simplified to y = (1/2)x^(1/2) and represents a square root function rather than a power function.

Answer 2

no power function is a function of the form : where and are constant real numbers and is a variable. The domain of a power function can sometimes be all real numbers, but generally a non-negativity is used to avoid problems with simplifying. The domain of definition is determined by each individual case.