Answer:
1
Step-by-step explanation:
y-intercept is defined as the point where the graph crosses the y-axis. The value of x coordinate at this point is zero, as along entire y-axis, the value of x coordinate is always zero. So substituting x = 0 in the function will give us the y-coordinate of the y-intercept of the given function.
[tex]f(x)=x^{3}-x^{2} -x+1[/tex]
Substituting x = 0 in this function, we get:
[tex]f(0)=0^{3}-0^{2}-0+1=1[/tex]
Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)
