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

Question

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.)
• The y-intercept of a function is always positive. (This is false; the y-intercept can be negative, zero, or positive.)
• The y-intercept of a function is always negative. (This is false; the y-intercept can be negative, zero, or positive.)
• The y-intercept of a function is the point at which y = 0. (This is false; the y-intercept occurs when x = 0, not y = 0.)