The domain of the function y=logx^4 is all positive real numbers, since the logarithm function is only defined for positive inputs. In other words, x must be greater than 0 for the function to be defined.
The range of y=logx^4 is all real numbers, since the logarithm function can output any real number depending on the input. However, the output of y=logx^4 will always be positive, since x^4 will always be positive regardless of the value of x.
The x-intercept of y=logx^4 is (1,0). This is because any number raised to the power of 0 is equal to 1, so when x=1, the function will output 0.
The vertical asymptote of y=logx^4 is x=0. This is because as x approaches 0 from the positive side, the output of the function approaches negative infinity. However, the function is not defined for negative inputs, so there is no vertical asymptote on the negative side.
No, the function y=logx^4 does not have a horizontal asymptote. As x approaches infinity, the output of the function will continue to increase without bound, so there is no horizontal line that the graph will approach.