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How do you determine the relative minimum and relative maximum values of functions and the intervals on which functions are decreasing or increasing?
You take the derivative of the function. The derivative is another function that tells you the slope of the original function at any point. (If you don't know about derivatives already, you can learn the details on how to calculate in a calculus textbook. Or read the Wikipedia article for a brief introduction.) Once you have the derivative, you solve it for zero (derivative = 0). Any local maximum or minimum either has a derivative of zero, has no defined derivative, or is a border point (on the border of the interval you are considering). Now, as to the intervals where the function increase or decreases: Between any such maximum or minimum points, you take any random point and check whether the derivative is positive or negative. If it is positive, the function is increasing.
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.
Function equals x to the power of 2 times e to the power of x?
f(x)=(x^2)(e^x) 1. Domain? 2. Symmetry? 3. Intercepts? 4. Asymptotes? 5. Increasing/Decreasing? 6. Relative Extrema? 7. Concave Up/Down? 8. Points Of Inflection? 9. Any Discontinuity? So confused! The e throws me off!
Can a scatter plot have a linear function?
You can have a line of best fit. It is the line that cuts through the points with the least amount of distance to all the data.
A value is in the domain of a function if there is a what on the graph of the function at that x-value?
points
