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f(x)=12x+3

with inputs of −4
, −2
, 0, 2, and 4.

1 answer

To find the values of the function \( f(x) = 12x + 3 \) for the given inputs of \( x = -4, -2, 0, 2, \) and \( 4 \), we will calculate \( f(x) \) for each input.

  1. For \( x = -4 \): \[ f(-4) = 12(-4) + 3 = -48 + 3 = -45 \]

  2. For \( x = -2 \): \[ f(-2) = 12(-2) + 3 = -24 + 3 = -21 \]

  3. For \( x = 0 \): \[ f(0) = 12(0) + 3 = 0 + 3 = 3 \]

  4. For \( x = 2 \): \[ f(2) = 12(2) + 3 = 24 + 3 = 27 \]

  5. For \( x = 4 \): \[ f(4) = 12(4) + 3 = 48 + 3 = 51 \]

Summary of the results:

  • \( f(-4) = -45 \)
  • \( f(-2) = -21 \)
  • \( f(0) = 3 \)
  • \( f(2) = 27 \)
  • \( f(4) = 51 \)