Question

State the y-coordinate of the y-intercept for the function below.

Answer 1

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.

$f(x)=x^{3}-x^{2} -x+1$

Substituting x = 0 in this function, we get:

$f(0)=0^{3}-0^{2}-0+1=1$

Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)