Set 15: Linear Functions (Advanced)

Explanation

Answer: A

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

$-3$

✓ Correct

$0$

$6$

$-6$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Linear pattern. 1. Pattern: Every 3 steps in x, y goes down by 3 ( $3\to 0$ ). 2. Next Step: $x=6$ is another 3 steps. 3. Result: $y$ goes down another 3. $0- 3 = -3$ . Strategic Tip: Linear functions have constant first differences. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $-3$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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