The slope of the cubic polynomial and it's y-intercept are respectively; f(1) = -4 and f(0) = -6
We are given the equation;
f(x) = 2x³ - 6
Now, because the highest power of x is 3, it means that this is a cubic polynomial and not linear because it has a degree of 3
Thus, let us differentiate to get the slope;
f'(x) = 6x² - 6
At f'(x) = 0; x = 1
Thus, slope is;
f(1) = 2(1)³ - 6
f(1) = -4
y-intercept is f(x) at x = 0. Thus;
f(0) = 2(0³) - 6
f(0) = -6
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