Question 3 Answer & Explanation - SAT Algebra

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algebra

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 $g$

Function $f$

They are equal

Cannot determine

Correct Answer: A

Choice A is the correct answer. Compare slopes.

Slope f: Coefficient of $x$ is 2.
Slope g: $\frac{9-1}{2-0} = \frac{8}{2} = 4$ .
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.

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Linear Functions Set 98

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