In Exercises 77–92, use the graph to determine a.the x-intercepts, if any; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Verified step by step guidance

1. Identify the x-intercepts by finding where the graph crosses the x-axis. In this graph, the x-intercepts are at the points (0, 0) and (5, 0).
2. Identify the y-intercept by finding where the graph crosses the y-axis. In this graph, the y-intercept is at the point (0, 0).
3. To find the missing function values, observe the graph and note the coordinates of the points where the function value is indicated by a question mark. In this graph, the missing function value at x = 0 is 0, and at x = 5, it is 0.
4. Verify the behavior of the graph around the intercepts to ensure the points are correctly identified. The graph passes through the origin and returns to the x-axis at x = 5.
5. Check for any additional information or patterns in the graph that might help in understanding the function's behavior, such as symmetry or periodicity.

Key Concepts

X-Intercepts

X-intercepts are the points where a graph crosses the x-axis, indicating where the function's output (y-value) is zero. To find x-intercepts, set the function equal to zero and solve for x. In the provided graph, the x-intercepts are at the points (0,0) and (5,0).

Y-Intercepts

The y-intercept is the point where a graph crosses the y-axis, representing the value of the function when x is zero. To determine the y-intercept, evaluate the function at x = 0. In the graph, the y-intercept is at the point (0,7), indicating that the function's value is 7 when x is zero.

Function Values

Function values refer to the outputs of a function for given inputs. In the context of the graph, missing function values can be identified by observing the graph at specific x-values. These values can be estimated visually or calculated if the function's equation is known, helping to complete the analysis of the graph.