Question

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

Answer 1

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 more

1. What is the y-intercept of the quadratic function  f(x) = (x – 6)(x – 2)? brainly.com/question/1332667
2. Which is the x-intercept of the continuous function in the table?  brainly.com/question/11705002
3. What are the coordinates of the vertex of the graph? brainly.com/question/1286775

Answer 2

Answer: 12 only

Step-by-step explanation:

The given graph is representing the function f(x).

To find the value of f(0), we need to check the position of curve at x=0.

It implies we need to check the position of curve on y-axis.

We can see there is only one point where function curve is intersection the y-axis such that at x=0 .i.e. y=12

Hence, from the given graph the value of $f(0)=12$ only.