The y-intercept of a function is the value of y when x = 0.
For the function y = 3√x + 1, when x = 0, we have:
y = 3√0 + 1 = 1
To find a function with the same y-intercept, we need to substitute x = 0 into the different options and check which one gives us y = 1.
Checking the options:
A) y = 3√0 + 1 = 1: This is the same as the original function.
B) y = 3√0 - 1 = -1: This is not the same y-intercept.
C) y = (0)^3 - 1 = -1: This is not the same y-intercept.
D) y = (0)^3 + 1 = 1: This is the same y-intercept.
E) y = (0+1)^3 = 1^3 = 1: This is the same y-intercept.
F) y = (0-1)^3 = (-1)^3 = -1: This is not the same y-intercept.
Therefore, the functions with the same y-intercept as y = 3√x + 1 are A) y = 3√x + 1, D) y = x^3 + 1, and E) y = (x+1)^3.
which function has the same y intercept as y= 3√x+1
A) y=3√x+1
B) y=3√x-1
C) y=x^3-1
D) y=x^3+1
E) y=(x+1)^3
F) y=(x-1)^3
1 answer