19
QuizMultiple Choice

Modeling Functions Using Finite Differences — Quiz

Question 19 • Algebraic Reasoning

Choose the function that represents the data in the table. x 0 1 2 3 4 5 f of x negative 3 negative 1 1 3 5 7

Answer
A
f of x is equal to 2 x minus 3
B
f of x is equal to x squared minus 3
C
f of x is equal to 2 x squared minus 3
D
f of x is equal to 2 over x minus 3

Explanation

The function values increase by 2 each time x increases by 1, so the data are linear with slope 2. Since f(0) = -3, the y-intercept is -3, giving f(x) = 2x - 3. This matches choice A.

AI-written and checked against the verified answer.

Previous
Next