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MATH / Suppose the function f(x) is defined explicitly by the table begin{array}{c || c | c | c | c | c} x & 0 & 1 & 2 & 3 & 4 hline f(x) & 0 & 0 & 1 & 3 & 6 end{array} This function is …

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problem

Suppose the function f(x)f(x) is defined explicitly by the table $$\begin{array}{c || c | c | c | c | c} x & 0 & 1 & 2 & 3 & 4 \\ \hline f(x) & 0 & 0 & 1 & 3 & 6 \end{array}$$ This function is defined only for the values of xx listed in the table. Suppose g(x)g(x) is defined as f(x)−xf(x)-x for all numbers xx in the domain of f.f. How many distinct numbers are in the range of $g(x)?$
Plain-text mathematical notation (without MathML)
Suppose the function f(x) is defined explicitly by the table $$\begin{array}{c || c | c | c | c | c}
x & 0 & 1 & 2 & 3 & 4 \\
\hline
f(x) & 0 & 0 & 1 & 3 & 6
\end{array}$$ This function is defined only for the values of x listed in the table.

Suppose g(x) is defined as f(x)−x for all numbers x in the domain of f. How many distinct numbers are in the range of $g(x)?$
Original LaTeX notation
Suppose the function $f(x)$ is defined explicitly by the table $$\begin{array}{c || c | c | c | c | c}
x & 0 & 1 & 2 & 3 & 4 \\
\hline
f(x) & 0 & 0 & 1 & 3 & 6
\end{array}$$ This function is defined only for the values of $x$ listed in the table.

Suppose $g(x)$ is defined as $f(x)-x$ for all numbers $x$ in the domain of $f.$ How many distinct numbers are in the range of $g(x)?$

level

Level 4

type

Algebra

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