Answer:
y = -2
Step-by-step explanation:
The y-intercept is the y-coordinate of the point where the curve intersects (crosses) the y-axis, i.e. when x = 0.
Therefore, to find the y-intercept, substitute x = 0 into the function:
[tex]f(0)=\sqrt[3]{0+1} -3=\sqrt[3]{1} -3=1-3=-2[/tex]
Therefore, the curve crosses the y-axis at (0, -2) and so the y-intercept is
y = -2.
