On a coordinate plane, a curved line with a minimum value of (1, negative 4) crosses the x-axis at (negative 1, 0), and (3, 0), and crosses the y-axis at (0, negative 3).

Question

Which lists all of the y-intercepts of the graphed function?

(0, –3)
(–1, 0) and (3, 0)
(0, –1) and (0, 3)
(–1, 0), (3, 0), and (0, –3)

Answer 1

The y-intercept of a function is the point where the graph crosses the y-axis, which occurs when \( x = 0 \).

According to the information given:

• The curve crosses the y-axis at the point \( (0, -3) \).

The x-intercepts, where the graph crosses the x-axis, are \( (-1, 0) \) and \( (3, 0) \).

Thus, the entire list of intercepts mentioned includes:

• The y-intercept: \( (0, -3) \)
• The x-intercepts: \( (-1, 0) \) and \( (3, 0) \)

Therefore, the list of all y-intercepts of the graphed function is:

• \( (-1, 0), (3, 0), \) and \( (0, -3) \)

So, the correct answer is:
(–1, 0), (3, 0), and (0, –3).