To solve the problem, we need to determine how many values of $x$ make $f(x) = 0$. This corresponds to finding the $x$-intercepts of the graph, which occur where the curve crosses the $x$-axis.

Step-by-step Solution:

1. Examine the graph closely.
2. Count the points where the curve intersects the $x$-axis. These are the solutions to $f(x) = 0$.

Observations:

• The curve intersects the $x$-axis at exactly two points. These intersections represent the roots of $f(x)$.

Answer:

The correct answer is C) Two.

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Related Questions:

1. What are $x$-intercepts, and how do they relate to the equation of a function?
2. Can a graph have infinitely many $x$-intercepts? Under what conditions?
3. What are the implications of having multiple roots on the behavior of the function?
4. How can we algebraically find the roots of a function $f(x)$?
5. What does it mean if a graph just touches the $x$-axis but does not cross it?

Tip:

When analyzing graphs, always note key points like intercepts, maxima, and minima—they reveal critical information about the function!