special functions

byvonne

New member
Joined
Jun 22, 2009
Messages
14
identify each function as
c-constant,
d-direct variation,
a-absolute value,
g-greatest interger function.
then graph each function
can you show me the steps?

f(x)= I 3x-2 I
 
byvonne said:
identify each function as
c-constant,
d-direct variation,
a-absolute value,
g-greatest interger function.
then graph each function
can you show me the steps?

f(x)= I 3x-2 I

| 3x - 2 | means "absolute value of (3x - 2)"

So, f(x ) = | 3x - 2 | is an absolute value function.

To graph this function, or ANY function, you can choose values for x, and compute the corresponding values for y.

I suggest you try this approach to graph YOUR function.

Pick a bunch of values for x...

For example, you might want to use these values for x: -4, -3, -2, -1, 0, 1, 2, 3, 4

Substitute each value of x into the function definition. For example, if you use -4 for x, you'll have

f(x) = | 3*(-4) + 2 |, or
f(x) = | -12 + 2 |, or
f(x) = | -10|, or
f(x) = 10

So, when x = -4, f(x) = 10, and the point (-4, 10) is on the graph.

Do the same with the other values I suggested for x. Plot each of the points you get, and you should be able to see what the graph looks like.
 
Top