The function f(x) is shown on the graph.
what is f(0)?
12 only
2 and 3 only
–2, –1, 1, and 2 only
–2, –1, 1, 2 and 12

12 only.

Further explanation

The Problem:

The function f(x) is shown on the graph.What is f(0)?

The Process:

This problem is about determining the x-intercept and y-intercept of a function.

Intercepts are the point at which the graph intersects an axis.If the graph of a function crosses the x-axis, then the function has an x-intercept. The x-intercept(s) of a function is called the zeros or the roots of the function. From the graph we can observe that the curve has x-intercept at -2, -1, 2, and 3. It means that f(-2) = f(-1) = f(2) = f(3) = 0.If the graph of a function crosses the y-axis, then the function has a y-intercept. A function can have at most one y-intercept.From the graph, we can observe that the curve has a y-intercept at 12 only. It means that f(0) = 12.

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Notes

The curve on the graph has one maximum turning point and two minimum turning points.

Learn moreWhat is the y-intercept of the quadratic function  f(x) = (x – 6)(x – 2)? linkWhich is the x-intercept of the continuous function in the table?  linkWhat are the coordinates of the vertex of the graph? link

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