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What does it mean if a function has a constant rate of change?
Wiki User
∙ 12y ago
if a number can change randomly it is called a variable
Wiki User
∙ 12y ago
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How do you know if a function has a constant or variable rate of change?
If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.
A word for a constant rate of change?
In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change.
Why the differentiation of constant is zero?
The differentiation of a constant is zero because a constant value does not change with respect to the variable being differentiated. The derivative measures the rate of change of a function, and since a constant has no change, its derivative is zero.
How to find the constant rate of change?
To find the constant rate of change is by taking the final minus initial over the initial.
How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
The rate of change of any nonlinear function is constant?
No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.
How do you determine if a rate of change is constant?
You can determine if a rate of change is constant, by taking the instantaneous rate of change at multiple points - if they are all equal to each other, it can be assumed that the rate of change is constant. Alternatively, you can differentiate the function (if there is an associated function) - if this comes to a constant i.e. a number, then the rate of change is constant.
How do you know if a function has a constant or variable rate of change?
If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.
The rate of change of any linear function is constant?
Yes.
What is the rate of change of a linear function?
It will just be the gradient of the function, which should be constant in a linear function.
What is constant rate of change?
When something has a constant rate of change it means that it has a linear graph. The function can be written in the slope intercept form of y = mx + b.
What is the constant rate of change This is a grade 7 question...?
what is "constant rate of change"I second that.-alixa constant rate of change is the m in Y=MxB In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change it can also be called a coefficent
Does constant rate of change mean that the slope changes?
No
A word for a constant rate of change?
In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change.
What is the derivative of just a constant?
0 A derivative is the rate of change of a function as another variable changes. As there is no change to a constant, the derivative is necessarily 0.
Why the differentiation of constant is zero?
The differentiation of a constant is zero because a constant value does not change with respect to the variable being differentiated. The derivative measures the rate of change of a function, and since a constant has no change, its derivative is zero.
What is the rate of change of a horizontal line?
The rate of change of any function is its derivative. The equation of a horizontal line is simply a constant, for example y=10. The derivative of any constant is ZERO.
