21
QuizMultiple Choice

Modeling Functions Using Finite Differences — Quiz

Question 21 • Algebraic Reasoning

Choose the function that represents the data in the table. x 0 1 2 3 4 5 y negative 3 negative 1 5 15 29 47

Answer
A
y is equal to 2 x minus 3
B
y is equal to x over 2 minus 3
C
y is equal to 2 x squared minus 3
D
y is equal to 2 to the x th power minus 3

Explanation

Substitute each x-value into y = 2x² − 3. For example, when x = 3, y = 2(3²) − 3 = 15, and when x = 5, y = 2(5²) − 3 = 47. The rule also gives −3, −1, 5, and 29 for x = 0, 1, 2, and 4, respectively, matching the table. So the function is “y is equal to 2 x squared minus 3.”

AI-written and checked against the verified answer.

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