6

Set 6: Linear Functions (Advanced)

Explanation

Answer: A

If f(2)=3f(2) = 3 and f(5)=9f(5) = 9, what is the slope of the linear function f(x)f(x)?

A.

22

✓ Correct
B.

33

C.

66

D.

12\frac{1}{2}

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Translate function notation to points. 1. Points: (2,3)(2, 3) and (5,9)(5, 9). 2. Formula: m=9352m = \frac{9 - 3}{5 - 2}. 3. Calculate: m=63=2m = \frac{6}{3} = 2. Strategic Tip: f(x)=yf(x) = y means the input is xx and the output is yy. Choice B is incorrect because it is the run. Choice C is incorrect because it is the rise. Choice D is incorrect because it flips rise and run.

Key Steps:

The correct answer is 22

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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