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What graph represents a scenario with only one solution?
A graph in which the curve of an appropriate function crosses the x-axis only once. The curve could be of any shape.
How can you tell if a graph sHow is a function?
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.
What is the effect on a graph when you multiply a function by -1?
When a function is multiplied by -1 its graph is reflected in the x-axis.
How do you tell a graph is a function if it touches the y-axis exactly one time?
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.
If a graph shows distance on the vertical axis and time on the horizontal axis and the speed is steadily increasing what will the line representing speed look like?
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.
