Question

This table presents three ordered pairs of a function f(x) showing the relationship between x and f(x) for specific integer values of x.
x f(x)
−2
−11
−1
−2
0 1
Determine which of the given functions was used to create this input-output table.

(1 point)
Responses

f(x)=3x2+1
f left parenthesis x right parenthesis equals 3 x squared plus 1

f(x)=3x+1
f left parenthesis x right parenthesis equals 3 x plus 1

f(x)=−3x2+1
f left parenthesis x right parenthesis equals negative 3 x squared plus 1

f(x)=6x+1

Answer 1

f(x) = −3x^2 + 1.

Check: f(−2)=−3(4)+1=−12+1=−11, f(−1)=−3(1)+1=−2, f(0)=1.