The image shows a mathematical activity written on a chalkboard. The task is to construct a table of values for the function $f(x) = x + 2$.

To create a table of values, we choose several values for $x$ and then compute the corresponding $f(x)$ values using the equation $f(x) = x + 2$.

Example Table of Values for $f(x) = x + 2$

Here, I chose 11 values of $x$ ranging from $-5$ to $5$, and for each, calculated the corresponding $f(x)$.

Would you like further details or additional explanation on how the table was constructed?

Related Questions:

1. What does the function $f(x) = x + 2$ represent graphically?
2. How do we determine the slope of a linear function like $f(x) = x + 2$?
3. How can you extend this table of values to include more data points?
4. What is the domain and range of the function $f(x) = x + 2$?
5. How do changes to the equation, such as $f(x) = x + 3$, affect the table of values?

Tip:

When constructing a table of values, it's often useful to choose a range of $x$-values that includes both negative, zero, and positive values to see the full behavior of the function.