Find all y-intercepts and x-intercepts of the graph of the function. f(x)=2x^3+2x^2-24x If there is more than one answer, separate them with commas. Click on "None" if applicable. y -intercept(s): square x -intercept(s): square

To find the y-intercept of the function , we need to evaluate the function at .Substituting into the function, we get: Therefore, the y-intercept is .To find the x-intercepts of the function , we need to solve the equation .Setting the function equal to zero, we have: Factoring out the common factor of , we get: Now, we can set each factor equal to zero and solve for : or Solving the first equation, we get: Solving the quadratic equation , we can use the quadratic formula: Plugging in the values , , and , we get: Therefore, the x-intercepts are , , and .So, the y-intercept is and the x-intercepts are , , and .