Absolute Value function
Chat with our AI personalities
A graph in which the curve of an appropriate function crosses the x-axis only once. The curve could be of any shape.
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
When a function is multiplied by -1 its graph is reflected in the x-axis.
The main way that a graph can be defined as a function is if it passes the vertical line test; this means that each individual x must correspond to one specific value of y. In the situation you mentioned, we don't know if the graph in question really is a function, because we only see the point at y; we don't know if the graph loops around on itself and fails the vertical line test at any other point.
The graph of the speed will be an upward curving line increasing in curvature toward the vertical.Speed is the slope of the distance/time graph. If the speed is steadily increasing, then the slope of the line is steadily increasing. Assuming that time increases from left to right on the graph, the line curves up as it proceeds from left to right.The line representing speed would look like an increasing function, whose slope will be the acceleration.A parabola of form y=ax^2+bx+c, the a,b,c values depending on the rate of increase and initial value.