Set 4: Linear Functions

Explanation

Answer: A

Function $f$ is defined by $f(x) = 2x + 3$ . Function $g$ is shown in a table with points $(0, 1)$ and $(2, 9)$ . Which function has a greater rate of change?

Function $g$

✓ Correct

Function $f$

They are equal

Cannot determine

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Compare slopes. 1. Slope f: Coefficient of $x$ is 2. 2. Slope g: $\frac{9-1}{2-0} = \frac{8}{2} = 4$ . 3. Compare: $4> 2$ . Function $g$ is steeper. Strategic Tip: Always calculate the slope for the table/graph before guessing. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is Function $g$

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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