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It will just be the gradient of the function, which should be constant in a linear function.

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โˆ™ 2012-04-23 08:07:29
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Q: What is the rate of change of a linear function?
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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.


Is the following function linear or nonlinear If linear, state the rate of change?

o function is given. However, if linear , then the rate of change is the same as the steepness of the graph line.


What is the rate of change for the linear function y equals 2x plus 3?

The rate of change for the linear (not liner) function, y = 2x +/- 3 is 2.


The rate of change of any linear function is constant?

Yes.


Can the rate of change be linear or nonlinear?

Yes, the rate of change can be linear or non-linear.


How do you find the average rate of change for a linear function?

A linear function has a constant rate of change - so the average rate of change is the same as the rate of change.Take any two points, A = (p,q) and B = (r, s) which satisfy the function. Then the rate of change is(q - s)/(p - r).If the linear equation is given:in the form y = mx + c then the rate of change is m; orin the form ax + by + c = 0 [the standard form] then the rate is -a/b.


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.


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.


Is the slope of a line the average rate of change of the linear function?

yes, aka rise over run.


What is the relation quadratic equation to linear equation?

The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).


What is the word for constant rate of change?

Linear[ity]


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.


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 do linear functions have a rate of change?

Linear functions have a rate of change because their slope parameter is non-zero. That is, as their x or y values changes, their corresponding x or y values change in response.


Is the sum of two linear functions always a linear function?

Yes. You would have to multiply to change it.


How does finding slope compare to finding the rate of change between two variables in a linear relationship?

The slope of a line is the same thing as the rate of change between two variables in a linear relationship.


What is the constant rate of change in y with respect to the constant change in x?

A linear relationship.


How does one figure the rate of change?

The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.


What is the rate of change for linear equations?

It is the gradient: the change in the vertical direction divided by the change in the horizontal direction.


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


What is the end behavior of a linear function?

Assuming the domain is unbounded, the linear function continues to be a linear function to its end.


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.


Is a linear equation the same as a function?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


What is the rate of change in a linear relationship?

The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.


What is determinants of price elasticity of demand?

The rate of change of price and the rate of change of demand as a function of price.

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