Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 13

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Functions as Tables and Graphs
A function can be represented by an input-output table and by a
graph. The table and graph below represent the function y = x + 2.
y
Input,
Output,
Ordered Pair,
6
x
y
(x, y)
5
(2, 4)
(3, 5)
4
1
3
(1, 3)
3
(1, 3)
2
4
(2, 4)
1
3
5
(3, 5)
1
2
3
4
5
6
x
By drawing a line through the points, you graph all of the solutions
of the function y = x + 2.
3 3
Graphing a Function
EXAMPLE
Graph the function y = −2x + 1 using inputs of −1, 0, 1, and 2.
Make an input-output table.
−2 x + 1
Input, x
Output, y
Ordered Pair, ( x, y)
− 1
1) + 1
2(−
(−
1, 3)
3
− 2(0) + 1
1
(0, 1)
0
− 2(1) + 1
− 1
1
(1,
1)
− 2(2) + 1
− 3
2
(2,
3)
Plot the ordered pairs and draw a line through the points.
y
3
( 1, 3)
(0, 1)
1
(1,
1)
3
2
1
2
3
4
x
2
(2,
3)
3
Graph the function.
Exercises 19 –24
5. y = x + 1
6. y = − 3x
7. y = 3x + 2
Section 6.2
Representations of Functions
251

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