Let f be the continuous function defined on [-4,3] whose graph, consisting of three line segments and semicircle centered at the origin, is given to the right. Let g be the function given by g(x) = f(t)dt. (a) Find the values of g(2) and g(-2). (b) For each of g'(-3) and g"(-3), find the value or state that it does (-4, 1) (1,0) not exist. (3. (c) Find the x-coordinate of each point at which the graph of g has a horizontal tangent line. For each of these points, determine whether g has a relative minimum, relative maximum, or neither a minimum nor a maximum at the point. Jus Graph of f your answers. (d) For -4

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: