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38. identify the range of values of the function f(x) = -3x - 5 for the…

Question

  1. identify the range of values of the function f(x) = -3x - 5 for the domain values {-2, 0, 3}. -14 4 1 -11 -5 -2 5

Explanation:

Step1: Substitute \( x = -2 \)

Substitute \( x = -2 \) into \( f(x) = -3x - 5 \). So \( f(-2) = -3\times(-2) - 5 = 6 - 5 = 1 \).

Step2: Substitute \( x = 0 \)

Substitute \( x = 0 \) into \( f(x) = -3x - 5 \). So \( f(0) = -3\times0 - 5 = 0 - 5 = -5 \).

Step3: Substitute \( x = 3 \)

Substitute \( x = 3 \) into \( f(x) = -3x - 5 \). So \( f(3) = -3\times3 - 5 = -9 - 5 = -14 \).

Answer:

The range values are \( 1, -5, -14 \) (corresponding to the boxes with values 1, -5, -14 among the given options).