The x-intercepts of the graph are 1 and 8.
The x-intercepts of a graph represent the points where the graph intersects the x-axis.
In the given information, it is stated that the graph has x-intercepts at 1 and 8.
This implies that when the value of x is 1, and when the value of x is 8, the corresponding y-values or the function values are zero, placing these points on the x-axis.
The x-intercepts provide crucial information about the roots or solutions of the equation associated with the graph.
If the equation is a polynomial, finding the x-intercepts involves setting the polynomial equal to zero and solving for x.
In this case, it suggests that the equation associated with the graph may have factors like (x - 1) and (x - 8), causing the expression to equal zero at x = 1 and x = 8.
Additionally, the number and nature of x-intercepts contribute to understanding the behavior of the function.
In this scenario, having two x-intercepts at distinct points (1 and 8) suggests a polynomial of at least degree 2.
The graph might have other features like turning points or extrema between these intercepts.
The x-intercepts (1 and 8) offers insights into the solutions of the associated equation, the polynomial's degree, and potentially the overall shape and behavior of the graph.