Question

This table shows the relationship between input values (x) and the corresponding output values of a function f(x) which could be further analyzed to determine the function's equation.
x to f(x)

0 to 0
−1 to 1
2 to 4

This table shows the relationship between input values (x) and the corresponding output values of a function g(x) suggesting a pattern or rule for the function g(x), which could be further analyzed to determine the function's equation and fill in the missing value.
x to g(x)

0 to −1

−1 to _

2 to 3

Answer 1

From the first table f(0)=0, f(−1)=1, f(2)=4 so f(x)=x².

The second table fits g(x)=x²−1 (since g(0)=0²−1=−1 and g(2)=2²−1=3). Thus g(−1)= (−1)²−1 = 1−1 = 0.