Use the pattern in the table to answer the question.
Information
x 1 2 3 4
f of x 6 9 14 21
Question
Which function was used to make the pattern?
Answer options with 4 options
A.
f of x equals 2 x plus 4
B.
f of x equals x squared plus 5
C.
f of x equals x plus 5
D.
f of x equals 2 x squared plus 4
To determine the function used to make the pattern, let's analyze the relationship between the values of x and f(x) in the table.
- When x = 1, f(1) = 6, which does not match the equation 2x + 4 or x^2 + 5.
- When x = 2, f(2) = 9, which does not match the equation 2x + 4 or x^2 + 5.
- When x = 3, f(3) = 14, which does not match the equation 2x + 4 or x^2 + 5.
- When x = 4, f(4) = 21, which does not match the equation 2x + 4, but it does match the equation 2x^2 + 4.
Therefore, the function used to make the pattern is D. f(x) = 2x^2 + 4.