Linear Functions

SAT Math· difficulty 4/5

Which formula matches the table:

<table> <thead> <tr> <th>$x$</th> <th>-3</th> <th>-1</th> <th>1</th> <th>3</th> </tr> </thead> <tbody><tr> <td>$f(x)$</td> <td>11</td> <td>5</td> <td>-1</td> <td>-7</td> </tr> </tbody></table>
  • A

    f(x)=23xf(x) = 2 - 3x

  • B

    f(x)=3x+2f(x) = 3x + 2

  • C

    Both B and C

    check_circle
  • D

    f(x)=3x+2f(x) = -3x + 2

Explanation

Slope =(511)/2=3= (5 - 11)/2 = -3. f(0)=2f(0) = 2. f(x)=3x+2=23xf(x) = -3x + 2 = 2 - 3x.

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