is y = 1/4x^05 a power function? explain your reasoning.
No, y = (1/4)x^0.5 is not a power function.
A power function is defined as a function of the form y = kx^n, where k and n are constants. In a power function, the exponent (n) must be a constant, not a fractional or variable term.
In the given equation, the exponent is 0.5, which is not a constant but a fractional term. Therefore, it does not satisfy the definition of a power function.
0.5 was a constant when I went to school.
Apologies for the confusion. You are correct that 0.5 is indeed a constant. In that case, y = (1/4)x^(0.5) is indeed a power function.
A power function is a function where the variable is raised to a constant exponent. In this equation, x is raised to the constant exponent of 0.5, and therefore it qualifies as a power function.