what is the x, and y intercepts of g(x) = 6x4-2x3

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I think you should try to re-post your question. I can't tell if those characters are variables or multiplication signs.The way you have entered the function, it looks like g(x) is just 24 - 6 ... or 18If g(x) = 18, then the function is represented by a horizontal line. There is no x-intercept. The y-intercept is 18.

y-int:(0,0)x-int; (0,0) and (1/3,0)