SOLUTION: Suppose f(x)=2(x+1) and the domain is {0,1,2,3,4}. Describe the function in the following ways: a. Draw an arrow diagram involving two sets. b. Use ordered pairs. c. Make a ta

Hi, there--

PROBLEM:
Suppose f(x)=2(x+1) and the domain is {0,1,2,3,4}. Describe the function in the following 
ways: 
a. Draw an arrow diagram involving two sets.
b. Use ordered pairs. 
c. Make a table.
d. Draw a graph to depict the function.

SOLUTION:
Evaluate the function for each value in the domain:
f(x) = 2(x + 1)
f(0) = 2(0 + 1) = 2(1) = 2
f(1) = 2(1 + 1) = 2(2) = 4
f(2) = 2(2 + 1) = 2(3) = 6
f(3) = 2(3 + 1) = 2(4) = 8
f(4) = 2(4 + 1) = 2(5) = 10

a. Arrow Diagram

0 -------> 2
1 -------> 4
2 -------> 6
3 -------> 8
4 -------> 10

Draw bubbles around the domain column on the left and the range column on the right, 
as shown on this website: http://perfectmaths.wordpress.com/2011/06/02/functions/

b. Ordered Pairs
{(0,2), (1,4), (2,6), (3, 8), (4,10)}

c. Table

 x | y
------
 0 | 2
 1 | 4
 2 | 6
 3 | 8
 4 | 10

d. Graph

You graph the function on the x-y coordinate grid. Graph the equation 
y = 2(x+1), simplified to y = 2x + 2. This is a line with a slope of 2 and y-intercept of 2.

Let me know if you have questions,

Ms.Figgy
math.in.the.vortex@gmail.com