Problem

At \(x~=~2\), evaluate \(f(x)~=~x^2~+~1\) and use the table value \(g(2)~=~7\). Compare the \(\text{two}~\text{function}~\text{values}\).

Equation f of x equals x squared plus 1 beside a table row showing g of 2 equals 7.

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What this problem is really about

A fair function comparison uses the same input in both representations. Evaluate the formula at the stated input and read the other output from the matching table row. Once those two values are aligned, compare them directly and describe which function is larger and by how much.

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Function f has the greater value because 2²+1=7, which matches g(2)=7.

Function f has the greater value because f(0)=1 and the table value for g at a different input is smaller.

The two functions have the same value because f(2)=2 and the table shows g(2)=2.

Function g has the greater value because f(2)=2²+1=5 and the table shows g(2)=7.

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At \(x~=~2\), evaluate \(f(x)~=~x^2~+~1\) and use the table value \(g(2)~=~7\). Compare the \(\text{two}~\text{function}~\text{values}\).

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