22
QuizMultiple Choice

Modeling Functions Using Finite Differences — Quiz

Question 22 • Algebraic Reasoning

What type of function is represented in the table? x 5 6 7 8 9 10 y negative 17 negative 21 negative 25 negative 29 negative 33 negative 37

Answer
A
linear
B
quadratic
C
exponential
D
logarithmic

Explanation

As x increases by 1 each time, y decreases by 4 each time: −17, −21, −25, −29, −33, −37. A constant first difference means the function is linear, so the answer is B) linear.

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