Substitution in Functional Notation
Introduction:
In functional notation, we have a set of symbols, f(x), which are
a group. The parentheses do not indicate multiplication.
The "f" is the name of the function, and the "(x)" part show that it depends on x.
See page 158 in the book.
We need more: a definition of the function, as in f(x) = 3(x) - 2.
The expression on the right side of the equation is a set of instructions.
Here, if we are given a value of x, we are supposed to multiply it by 3,
and then subtract 2.
So, if x is 7, we have
f(7) = 3(7) - 2 = 19. To emphasize that this is a set of instructions,
we'll use empty parentheses in the examples below. We'll also use arcs to
emphasize what is filled into the parentheses.
Click "Start" for a new set of data. Then click "Next" 50 times to
display the 4 examples. Be sure to do a variety of cases.
