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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).
What else can I help you with?
Is this function increasing f(x)(0.5)x?
To determine if the function ( f(x) = (0.5)^x ) is increasing, we can examine its derivative. The derivative ( f'(x) = (0.5)^x \ln(0.5) ) is negative since ( \ln(0.5) < 0 ). Therefore, ( f(x) ) is a decreasing function for all ( x ). Thus, the function ( f(x) = (0.5)^x ) is not increasing.
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 a critical point where the graph change its shape but no its increasing or decreasing behavior?
Yes, a critical point can be where the graph changes its shape without changing its increasing or decreasing behavior. This typically occurs at points of inflection, where the concavity of the graph changes, but the function may still be increasing or decreasing. In such cases, the first derivative does not change sign, while the second derivative does, indicating a change in the curvature of the graph rather than a change in the overall trend.
Is the skydiver increasing or decreasing his speed during the first 3 seconds?
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.
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 populations of amphibians increasing or decreasing?
Decreasing
Is Russia's population decreasing or increasing?
Decreasing.
Is Singapore population increasing or decreasing?
Decreasing
Are the panda population increasing or decreasing?
It is decreasing
