On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2), and crosses the x-axis at (5, 0).

Question

What is the lowest value of the range of the function shown on the graph?

infinity
-2
0
3

Answer 1

Let's analyze the given function step-by-step:

1. The line crosses the y-axis at (0, 1) and the x-axis at (1, 0). This segment indicates a linear function between these two points.
2. Next, the line turns at the point (3, -2). This suggests a change in the direction or slope of the line at this point.
3. Finally, the line crosses the x-axis at (5, 0).

Given these details, we need to determine the lowest value of the range of this function.

- The segment from (0, 1) to (1, 0) has points decreasing from y = 1 to y = 0.
- At the turn point (3, -2), the y-coordinate reaches -2, which is a lower value than any other points on this segment.
- Finally, the segment from (3, -2) to (5, 0) increases back up to y = 0.

Since the minimum value along these segments is at the point (3, -2) where y = -2, the lowest value of the range of the function is clearly -2.

Hence, the lowest value of the range of the function shown on the graph is:

**-2**