Let's review the details in the image.

For question 26:

• The function shown is a linear function. The reason for this is that the y-values change by a constant amount for every unit increase in the x-values, and the points on the graph can be connected by a straight line. This consistency in slope and the straight line behavior are key indicators of a linear function.

For question 27:

• Domain: The function is defined for specific x-values shown on the graph. The x-values are distinct and limited to the points shown, which are: $-1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5$.

  • Thus, the correct option for the domain is B, with the domain being {-1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5}.

• Range: The y-values corresponding to these x-values are: 3, 2.5, 2, 1.5, 1, 0.5, 0, 0. This set is finite, meaning the range consists of these specific y-values.

  • The correct option for the range is B, with the range being {0, 0.5, 1, 1.5, 2, 2.5, 3}.

Would you like to go over the details of linear functions further or have any other questions?

Here are 5 related questions to help you:

1. How can you determine the slope of a linear function from a graph?
2. What is the difference between a function's domain and range?
3. What is the general form of the equation of a linear function?
4. How do you identify whether a graph represents a function?
5. How would the range and domain change if the graph had more or fewer points?

Tip: The slope of a linear function can be found by calculating the change in y-values divided by the change in x-values between any two points on the graph.