Question

match each graph with its table.

first table:
input | output
-2 | 2
-1 | 1
0 | 0
1 | 1
2 | 2
3 | 3

second table:
input | output
-2 | -2
-1 | -1
0 | 0
1 | 1
2 | 2
3 | 3

third table:
input | output
-2 | 4
-1 | 1
0 | 0
1 | 1
2 | 4
3 | 9

fourth table:
input | output
-2 | --
-1 | --
0 | 0
1 | 1
4 | 2
9 | 3

fifth table:
input | output
-2 | -0.5
-1 | -1
0 | --
1 | 1
2 | 0.5
3 | 0.33

sixth table:
input | output
-2 | -8
-1 | -1
0 | 0
1 | 1
2 | 8
3 | 27

graphs labeled a, b, c, d, e, f (with coordinate grids and plotted curves/lines).

Explanation:

Step1: Match first table to graph

First table: Output = |Input|. Matches graph c (V-shaped, symmetric, outputs equal absolute value of inputs).

Step2: Match second table to graph

Second table: Output = Input. Matches graph b (straight line with slope 1, passes through origin).

Step3: Match third table to graph

Third table: Output = Input². Matches graph f (upward-opening parabola, symmetric, outputs are squares of inputs).

Step4: Match fourth table to graph

Fourth table: Output = √Input (only non-negative inputs have outputs). Matches graph a (increasing curve, starts at origin, grows slowly).

Step5: Match fifth table to graph

Fifth table: Output = $\frac{1}{\text{Input}}$. Matches graph e (hyperbola, positive/negative inputs have inverse outputs).

Step6: Match sixth table to graph

Sixth table: Output = Input³. Matches graph d (cubic curve, increasing, symmetric about origin, outputs are cubes of inputs).

Answer:

1. First table (Output = |Input|) ↔ Graph c
2. Second table (Output = Input) ↔ Graph b
3. Third table (Output = Input²) ↔ Graph f
4. Fourth table (Output = √Input) ↔ Graph a
5. Fifth table (Output = $\frac{1}{\text{Input}}$) ↔ Graph e
6. Sixth table (Output = Input³) ↔ Graph d