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If f(x) = 4x + 5 and the domain of f is {2, 6, 10}, what is the range of f(x)?

a. {13, 17, 25}
b. {9, 29, 45}
c. {13, 17, 29}
d. {9, 17, 25}

User Ichthyo
by
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1 Answer

3 votes

Final answer:

The range of the function f(x) = 4x + 5 for the domain {2, 6, 10} is {13, 29, 45}. However, none of the answer choices match this correct range, indicating a possible error in the provided options.

Step-by-step explanation:

To find the range of the function f(x) = 4x + 5 given the domain {2, 6, 10}, we plug each value from the domain into the function and calculate the corresponding outputs.

  • For x = 2: f(2) = 4(2) + 5 = 8 + 5 = 13
  • For x = 6: f(6) = 4(6) + 5 = 24 + 5 = 29
  • For x = 10: f(10) = 4(10) + 5 = 40 + 5 = 45

However, there seems to be an error with the options provided for the range as none of them match the calculated values of {13, 29, 45}. The correct range for the given domain would thus not be represented in the options provided.

User Dmitriy Apollonin
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7.7k points