Final answer:
The y-intercept of the function f(x)=7x⁶+3x⁶-8x is at the point (0,0), as there is no constant term in the function when x is set to zero.
Step-by-step explanation:
The y-intercept of the function f(x) = 7x⁶ + 3x⁶ - 8x can be found by setting the variable x to zero. The terms involving x will all become zero, leaving only the constant term, if there is one. However, since there is no constant term in the given function, the y-intercept is also zero. Therefore, the y-intercept of the function is at the point (0,0) on the coordinate plane.