Set 14: Linear Functions
Explanation
Which table of values represents a linear function?
x: 1, 2, 3, 4; y: 5, 7, 9, 11
x: 1, 2, 3, 4; y: 5, 10, 20, 40
x: 1, 2, 3, 4; y: 1, 4, 9, 16
x: 1, 2, 3, 4; y: 5, 4, 2, -1
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Check for a constant rate of change. 1. Check A: As goes up by 1, goes up by 2 (). Constant rate Linear. 2. Check B: doubles (Exponential). 3. Check C: Differences are 3, 5, 7 (Quadratic). 4. Check D: Differences are -1, -2, -3 (Not constant). Strategic Tip: In a linear table, the first differences of are constant (for equal x-steps). Choice B is incorrect (Exponential). Choice C is incorrect (Quadratic). Choice D is incorrect.
Key Steps:
The correct answer is x: 1, 2, 3, 4; y: 5, 7, 9, 11
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