Sunday, April 24, 2011

An Example Of An Interest Letter

4 º ESO (2) piecewise functions

Let graph the piecewise defined function:

rendered first three terms separately as if they were independent and then consider taking into account common subdomains .
First g (x) = 5
it counts is a function that passes through the points (x, 5) with x ÎÁ (x 'free' takes any value)
His graph is:

Second function, h (x) = x 2-6x +10
(to represent it is necessary to calculate some cordenadas of the quadratic function and calculate the vertex of the parabola) The vertex is (-b/2a, h (-b/2a)) Þ (3, h (3)) Þ \u200b\u200b (3, 1). Remember that the axis of symmetry of the parabola is x = 3. Graphically
:


Finally the function j (x) = 4x -15
is a related function growing and represent just get two coordinates where for the function (which is a line). Its graph is:

And finally piecewise function f (x) , based on the information view, is as follows:


Now
piecewise function can retrieve information about their frills.
Dom f (x) = Â = (- μ, + μ )
Rec f (x) = [1, + μ )
f (x) in  continuous \\ {2}; ;
function cuts the y-axis at the point (0, 5).
is a constant function in (-μ, 2 ] is decreasing in (2, 3) and increased (3, + μ). Presents a relative minimum at x = 3.

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