A function assigns the value. The x-intercepts of the function are -2, 3, and 6. The y-intercept of the function is 36.
A function assigns the value of each element of one set to the other specific element of another set.
In the given function, if the value of x is kept as 0, then you will get the value of the y-intercept of the function as,
f(x) = x³- 7x² + 36
f(0) = (0)³ - 7(0)² + 36
f(0) = 36
The value of y is kept as 0, then you will get the x-intercept of the function,
f(x) = x³- 7x² + 36
0 = x³- 7x² + 36
0 = (x+2)(x-3)(x-6)
x = -2, 3, 6
Hence, the x-intercepts of the function are -2, 3, and 6. The y-intercept of the function is 36.
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