Set 9: Linear Functions

Explanation

Answer: A

Compare the y-intercepts of $f(x) = 3x + 4$ and the line passing through $(0, 2)$ and $(5, 12)$ .

$f(x)$ is higher by 2

✓ Correct

The line is higher by 2

They are equal

$f(x)$ is higher by 4

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Find intercepts. 1. f(x): Intercept is 4. 2. Line: Passes through $(0, 2)$ , so intercept is 2. 3. Compare: $4- 2 = 2$ . $f(x)$ is higher by 2. Strategic Tip: Look for $(0, y)$ to spot the intercept instantly. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $f(x)$ is higher by 2

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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