Let $R$ be the set of real numbers. Define the real function $f: R \rightarrow R$ by $f(x) = x + 10$ and sketch the graph of this function.
(N/A) To sketch the graph of the function $f(x) = x + 10$,we identify some points on the line:
For $x = 0$,$f(0) = 0 + 10 = 10$. So,the point is $(0, 10)$.
For $x = -10$,$f(-10) = -10 + 10 = 0$. So,the point is $(-10, 0)$.
Since $f(x)$ is a linear function,its graph is a straight line passing through the points $(0, 10)$ and $(-10, 0)$ as shown in the figure.
For $x = 0$,$f(0) = 0 + 10 = 10$. So,the point is $(0, 10)$.
For $x = -10$,$f(-10) = -10 + 10 = 0$. So,the point is $(-10, 0)$.
Since $f(x)$ is a linear function,its graph is a straight line passing through the points $(0, 10)$ and $(-10, 0)$ as shown in the figure.
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