Explain this question ---**Question Number:** 14.
**Chart/Diagram Description:**
* Type: Line graph of a function, labeled as "Graph of g".
* Coordinate Axes: X-axis and Y-axis intersecting at the origin O.
* X-axis: Labeled 'x' with tick marks and labels at -2, -1, O, 1, 2, 3, 4.
* Y-axis: Labeled 'y' with tick marks and labels at -3, -2, -1, O, 1, 2, 3.
* Curve: Represents the function g. The curve starts high, goes down to a local minimum around x=-1.5, up to a local maximum at x=0, down to a local minimum around x=0.5, up to a local maximum at x=1, down to a local minimum at x=2, up to a local maximum around x=2.5, and then drops down towards x=3 and beyond. The graph is shown for approximately x in the range [-2, 4].
**Question Stem:**
The graph of the polynomial function g is shown. The function f is defined for $0 \leq x \leq 3$ and is identical to the function g on that interval. How many total local minima and local maxima does the function f have?
**Options:**
(A) Two
(B) Four
(C) Five
(D) Seven
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We have a polynomial function g shown in the graph. Function f is defined on the interval from 0 to 3 and is identical to g on this interval. We need to find how many local minima and maxima function f has.