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If the range of x is 2, what would be the range of – 3x + 50?(a) 2(b) 6(c) -6(d) 44

Question

If the range of x is 2, what would be the range of – 3x + 50?

(a) 2
(b) 6
(c) -6
(d) 44

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Solution

The range of a function is the difference between the maximum and minimum values of the function.

Given that the range of x is 2, this means that the difference between the maximum and minimum values of x is 2.

The function – 3x + 50 will transform the range of x as follows:

  1. Multiplying by -3: This will multiply the range by -3. So, the new range is 2 * -3 = -6.
  2. Adding 50: This will shift all the values up by 50, but it won't change the range. So, the range remains -6.

Therefore, the range of – 3x + 50 is -6. So, the answer is (c) -6.

This problem has been solved

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