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									1.7 Function Notation (pp. 51 – 62)

Some functions can be described using equations,
called function notation.

       y = x + 3 can be written as f(x) = x + 3

These both represent the same equation. The x is the
input variable, y or f(x) is the output variable. Here,
the “f” is simply the name of the function, “f(x)” is the
dependent or output variable, and “x” is the
independent or input variable.

We can use other letters in function notation:

   g(n) = 5n + 7

   h(t) = -16t2 – 96t + 120
I. Evaluate functions

   1. Let f(x) = 2x + 3 and g(x) = x2 – 5

       a) f(7)                 b) g(-3)




            3
       c) f                  d) g(0)
            4
2. Let f(x) be shown by the graph below:




   a) f(-5)


   b) f(-1)


   c) f(1)
3. Let g(x) be shown by the graph below:




   a) g(2)


   b) g(-6)


   c) g(0)
II. Graph functions

   1.
          x    -1     1    3     5
          y    -3     0    3     6




   Since the domain is strictly limited to the 4 values
   in the table, the points should not be connected.
2. f(x) = 2x – 1 ,   D = {-3, 2, 4}




Again, the domain is limited to the given values, so
the points should not be connected.
3. f(x) = x + 3




Since the domain is not limited to any specific
values, the points that you graph should be
connected.

								
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