When graph is above x-axis – increasing, below x-axis – decreasing
Find the interval where f(x) is increasing/decreasing given a graph of f ‘ (x).
A graph is a visual representation of a set of data. It helps us to understand the relationship between different variables. The x-axis of a graph represents the horizontal axis, while the y-axis represents the vertical axis. The values on the x-axis are independent variables, while the values on the y-axis are dependent variables.
When a graph is above the x-axis, it means that the values on the y-axis are positive. In other words, when the value of x increases, the value of y also increases. This indicates a positive relationship between the variables. For example, if we plot the temperature (y-axis) against time (x-axis), and the graph is above the x-axis, it means that the temperature is increasing over time.
On the other hand, if a graph is below the x-axis, it means that the values on the y-axis are negative. In this case, when the value of x increases, the value of y decreases. This indicates a negative relationship between the variables. For example, if we plot the altitude (y-axis) against depth (x-axis), a graph below the x-axis would mean that as the depth increases, the altitude decreases.
In summary, a graph can be used to determine whether a function is increasing or decreasing. If the graph is above the x-axis, it is increasing, and if it is below the x-axis, it is decreasing.
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