Question

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).
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 the given graph is (0, –3). The correct option is A.

What is the y-intercept of a function?

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At the y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

The y-intercept of a given graph is the point at which the graph intersects the y-axis of the graph. Therefore, the y-intercept of the given graph is (0, –3).

Hence, the correct option is A.

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