4
algebra

For the function f(x)=mx+bf(x) = mx + b, if f(0)=3f(0) = 3 and f(3)=0f(3) = 0, what is f(6)f(6)?

A

3-3

B

00

C

66

D

6-6

Correct Answer: A

Choice A is the correct answer. Linear pattern.

  1. Pattern: Every 3 steps in x, y goes down by 3 (303 \to 0).
  2. Next Step: x=6x=6 is another 3 steps.
  3. Result: yy goes down another 3. 03=30 - 3 = -3.

💡 Strategic Tip: Linear functions have constant first differences.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.