x Intercept

An -intercept is defined as a point where an equation crosses the -axis. For example, the line graphed below crosses the -axis at the point

In the case of functions that cross the -axis multiple times, like a quadratic equation, there are multiple -interepts.

The x-intercept of a graph is the point(s) at which the graph intersects the x-axis. In other words, it is the value of x when the function or equation’s output (y-value) is zero. For example, in a linear function given by , the x-intercept is the solution to the equation , which simplifies to .

If a graph has multiple x-intercepts, this indicates that the function or equation equals zero at multiple distinct x-values. Conversely, if a graph does not intersect the x-axis, the function or equation has no real roots.

Function

A function is a mathematical relationship between two sets, called the domain and the codomain, in which each element in the domain corresponds to exactly one element in the codomain. Functions are often represented by equations, graphs, or tables and can model real-world scenarios or abstract concepts.

Graph

A graph is a visual representation of a function or a set of data in the Cartesian coordinate system. It helps in understanding the behavior of the function or the trend in the data. The horizontal axis is usually denoted as x-axis and the vertical axis as y-axis.