15
QuizMultiple Choice

Modeling Functions Using Finite Differences — Quiz

Question 15 • Algebraic Reasoning

What type of function is represented in the table? x 0 1 2 3 4 5 y negative 3 negative 4 negative 11 negative 24 negative 43 negative 68

Answer
A
linear
B
exponential
C
quadratic
D
logarithmic

Explanation

Find the first differences of the y-values: −1, −7, −13, −19, and −25. Their differences are all −6, so the second differences are constant, which identifies a quadratic function.

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