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Is the function that cuts through the points (2 3) and (-1 6) increasing or decreasing?
Wiki User
∙ 8y ago
Overall "on average" it will increase between those points (as the y value of the greater x valued point is greater than the y of the lesser x valued point), but it could be a curve that has sections that increase and other sections that decrease.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoI suggest you plot the two points, join them with a straight line, and then check whether (from left to right) that line goes up, or down.
Wiki User
∙ 8y agoIf the function joins the two points using a straight line, then it is decreasing. But the function could be a curve which is increasing in some parts and decreasing in others.
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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
Is the function that cuts through the points 2 3 and -1 6 increasing or decreasing?
Points: (2, 3) and (-1, 6) Slope: -1 therefore it is decreasing
What is the point at which a graph changes directions?
Turning points are the points at which a graph changes direction from increasing o decreasing or decreasing to increasing.
What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
Function equals x2ex domain intercepts asymptotes increasing decreasing local extrema concave up concave down points of inflection discontinuous?
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!
When the points on a graph tend to go downward from left to right you say they indicate what?
They mean the graph/function is decreasing.
What function family has an increasing interval and a decreasing interval?
There are many families of functions or function types that have both increasing and decreasing intervals. One example is the parabolic functions (and functions of even powers), such as f(x)=x^2 or f(x)=x^4. Namely, f(x) = x^n, where n is an element of even natural numbers. If we let f(x) = x^2, then f'(x)=2x, which is < 0 (i.e. f(x) is decreasing) when x<0, and f'(x) > 0 (i.e. f(x) is increasing), when x > 0. Another example are trigonometric functions, such as f(x) = sin(x). Finding the derivative (i.e. f'(x) = cos(x)) and critical points will show this.
What is a trend on a graph?
It is the description of a slope of a line which connects from many points you mark to show a way that your graph data may increase or decrease. If it is decreasing, you have a downwards trend. If it is increasing, you have an upwards trend.
Which function passes through the points (2 15) and (3 26)?
If you mean points of (2, 15) and (3, 26) then the function is a straight line whose equation is y = 11x-7
How do you determine weather the graph represent a function?
The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.
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.
Explain how the trends in melting point and boiling point differ from the other periodic trends?
Instead of generally increasing or decreasing trend, melting and boiling points reach two different peaks as d and p orbitals fill. -Darryn
What is sport mode in automatic transmissions?
Sports mode changes both the shift points(increases the rpm) and the firmness of the shift(decreasing the amount of time it takes to shift gears), thus increasing acceleration performance of said vehicular object. :)
