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Assuming the function is linear, the direction of the function can be determined by the coefficient's sign:
[y = mx + b]
Where m is the coefficient of x, if m is negative, then the function is increasing. If m is positive, the function is decreasing (this relationship is rather complicated and requires advanced calculus to prove).
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What is the use of a contour plot graph?
It shows whether, and how steeply, the terrain or function is increasing or decreasing.
How do you figure out the intervals of increasing and decreasing of the function y equals x divided by square root of x squared then plus one?
The intervals are determined by when the derivative is positive or negative, because the derivative is the slope and a negative slope means the function is decreasing. The function y=(x/sqrt(x2))+1, however, can be rewritten as y=x/absolutevalue(x) + 1, and as such will be represented as a pair of parallel lines, y=0 for x<0 and y=2 for x>0. As the lines are horizontal, the function is never increasing or decreasing.
Is the skydiver increasing or decreasing his speed during the first 3 seconds?
Increasing.
How want to know that the gradient of a curve in displacement-time graph is increasing or decreasing?
If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.
How do you draw a continuous linear decreasing function?
A continuous linear decreasing function is a line that goes on forever and has a negative slope (is downhill from left to right). For example, the line y = -x is a continuous linear decreasing function.
What are the intervals over which the function is increasing or decreasing?
It depends on the function.
Is a constant function increasing or decreasing function or both or not?
Neither, by definition.
What if the rate of change is a measure of how fast the function is increasing or decreasing what does the slope of a linear?
The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.
How can you find the intervals in which the mathematical functions are strictly increasing or decreasing?
You take the derivative of the function, then solve the inequality:derivative > 0 for increasing, orderivative < 0 for decreasing.
Linear function increasing?
A linear function is increasing if it has a positive slope. To find this easily, put the function into the form y=mx+b. If m is positive, the function is increasing. If m is negative, it is decreasing.
What is the use of a contour plot graph?
It shows whether, and how steeply, the terrain or function is increasing or decreasing.
Is waning increasing or decreasing?
waxing is growing and waning is decreasing
X3-3x plus 23 it is increasing function?
No. Although it is increasing most of the time, it is decreasing between x=-1 and x=1.
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
Are the panda population increasing or decreasing?
It is decreasing
Is Singapore population increasing or decreasing?
Decreasing
Is Russia's population decreasing or increasing?
Decreasing.
