If f(x) = 1/3x + 9, which statement is always true?

NetherCraft 0

1. f(x) < 0

  1. f(x) > 0

  2. If x < 0, then f(x) < 0

  3. If x > 0, then f(x) > 0

The answer is 4 but i don’t know why. So if you gyzz could give me a good explanation it would really help. Thank you 😀

1 Answer

  • The first 2 you can dismiss completely because you can’t prove either one of those for all x (if x = -30, for instance, 1/3 * (-30) + 9 = -10 + 9 = -1). In fact, let’s assume x = -3. Then 1/3 * (-3) + 9 = -1 + 9 = 8. That alone also disproves C). D) is true for all x > 0, because if x = 0, you’d get 9, the minimum value under the subset.

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