Question

What are the y-intercepts of `2x+y^2=36`?

Answer 1

The y intercepts are given when `x = 0`.

`2(0) + y^2 = 36`

`0 + y^2 = 36`

`y^2 = 36`

`y = +- 6`

Thus, there will be y intercepts at `(0, -6) and (0, 6)`.

The graph of the relation (this is not a function) confirms:

graph{2x + y^2 = 36 [-22.14, 22.15, -11.07, 11.07]}

Practice exercises:

1. Determine the y intercepts of the following relations:

a) `x^2 + y^2 = 9`

b) `log_2(x + 2) = y`

c) `e^(4x) + 6 = y`

d) `2x + |x + 4| = y^2`

Hopefully this helps, and good luck!