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Linear Functions

SAT Math· difficulty 4/5

For f(x)=−3x+5f(x) = -3x + 5 on the closed interval [1,4][1, 4], what is the range?

  • A

    [2,5][2, 5]

  • B

    [2,7][2, 7]

  • C

    [−7,2][-7, 2]

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  • D

    [−7,5][-7, 5]

Explanation

f(1)=2f(1) = 2 (max since ff is decreasing); f(4)=−7f(4) = -7 (min). Range [−7,2][-7, 2].

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