Linear Functions

SAT Math· difficulty 4/5

The table shows values of a function gg.

<table> <thead> <tr> <th>$x$</th> <th>-2</th> <th>0</th> <th>2</th> <th>4</th> </tr> </thead> <tbody><tr> <td>$g(x)$</td> <td>-7</td> <td>-1</td> <td>5</td> <td>11</td> </tr> <tr> <td>Which expression equals $g(x)$?</td> <td></td> <td></td> <td></td> <td></td> </tr> </tbody></table>
  • A

    2x32x - 3

  • B

    3x13x - 1

    check_circle
  • C

    3x+13x + 1

  • D

    12x1\dfrac{1}{2}x - 1

Explanation

Slope =6/2=3= 6/2 = 3. g(0)=1g(0) = -1. So g(x)=3x1g(x) = 3x - 1.

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