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If the y-vaue (output) of the function increases as the x-value (input) increases, the function is increasing. If the y-value (output) of the function decreases as the x-value (input) increases, the function is decreasing.
Example: y = x is always increasing. y = -x is always decreasing.
It is the increase or decrease in some measure that is put into the context of the starting value.
Generally speaking, the change from x to y is y - x.
If y is greater than x then y - x is positive and so it is an increase, while if y is less than x then y - x is negative and so it is a decrease.
The percentage increase (or decrease) is 100 times the change divided by the initial value. That is, 100*(y - x)/ x which is equal to 100*(y/x - 1)
Normally, x should be positive. Otherwise you have the situation where a change from +50 to -25 = -150%
and from -50 to +25 = -150%
The same percentage changes, but very different stories behind them!
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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.
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
How can you tell if an exponential function will be decreasing of increasing?
Consider the function y = an If a < -1 it oscillates between negative and positive values, with the oscillations increasing. If a = -1, it oscillates between -1 and 1. If -1 < a < 0 it oscillates between negative and positive values, with the oscillations deceasing. if 0 < a < 1, it is decreasing. If a = 1, it is 1 for all n If a > 1, it is increasing.
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.
How can you determine when a function is increasing or decreasing?
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).
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.
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.
