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. These are the points (-8, 0) and (10, 0).
2. Identify the y-intercept by finding where the graph crosses the y-axis. This is the point (0, 8).
3. Observe the graph to determine the missing function values indicated by question marks. The graph passes through the point (0, -10) as well.
4. Verify the coordinates of the points where the graph intersects the axes to ensure accuracy.
5. Summarize the intercepts: x-intercepts are at x = -8 and x = 10; y-intercept is at y = 8.

Key Concepts

X-Intercepts

X-intercepts are the points where a graph crosses the x-axis, meaning the output value (y) is zero. To find x-intercepts, set the function equal to zero and solve for x. In the provided graph, the x-intercepts are located at the points (-8, 0) and (10, 0).

Y-Intercept

The y-intercept is the point where a graph crosses the y-axis, indicating the value of the function when x is zero. To determine the y-intercept, evaluate the function at x = 0. In this graph, the y-intercept is at the point (0, 8), showing that the function's value is 8 when x is zero.

Function Values

Function values represent the output of a function for given input values. In the context of the graph, missing function values can be identified by observing the graph's behavior at specific x-values. For instance, the graph indicates a missing value at (0, -10), which suggests that the function's value at x = 0 is -10, indicating a point below the x-axis.