Question

Which statement(s) correctly describe y-intercepts? Check all that apply.




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Which statement(s) correctly describe y-intercepts? Check all that apply.




The y-intercept of a function is the point where the line intersects the y-axis.


The y-intercept of a function is the point at which x = 0.


The y-value of the y-intercept is the same as the starting value, b.


The y-intercept of a function is always 0.


The y-intercept of a function is always positive.


The y-intercept of a function is always negative.


The y-intercept of a function is the point at which y = 0.

Answer 1

The following statements correctly describe y-intercepts:

1. **The y-intercept of a function is the point where the line intersects the y-axis.**
2. **The y-intercept of a function is the point at which x = 0.**
3. **The y-value of the y-intercept is the same as the starting value, b.**

The other statements are incorrect:

- **The y-intercept of a function is always 0.** (This is false; the y-intercept can be any value, not just 0.)
- **The y-intercept of a function is always positive.** (This is false; the y-intercept can be negative or zero as well.)
- **The y-intercept of a function is always negative.** (This is also false; similar to the above, it can be positive or zero.)
- **The y-intercept of a function is the point at which y = 0.** (This is false; at the y-intercept, x = 0, not y.)

So, the correct statements are the first three listed above.