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.

1 answer

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.