Bot GPT 4-o mini To find the range of the function \( f(x) = 3x + 7 \) for the given domain \( {-2, -1, 0, 1, 2} \), we will calculate the value of \( f(x) \) for each element in the domain.
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For \( x = -2 \): \[ f(-2) = 3(-2) + 7 = -6 + 7 = 1 \]
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For \( x = -1 \): \[ f(-1) = 3(-1) + 7 = -3 + 7 = 4 \]
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For \( x = 0 \): \[ f(0) = 3(0) + 7 = 0 + 7 = 7 \]
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For \( x = 1 \): \[ f(1) = 3(1) + 7 = 3 + 7 = 10 \]
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For \( x = 2 \): \[ f(2) = 3(2) + 7 = 6 + 7 = 13 \]
Now, we can compile the values calculated above to determine the range of \( f \):
- \( f(-2) = 1 \)
- \( f(-1) = 4 \)
- \( f(0) = 7 \)
- \( f(1) = 10 \)
- \( f(2) = 13 \)
Thus, the range of the function \( f(x) \) for the given domain is: \[ {1, 4, 7, 10, 13} \]
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