Q: What is a function with a constant rate of change?

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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.

if a number can change randomly it is called a variable

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.

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.

To find the constant rate of change is by taking the final minus initial over the initial.

Related questions

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.

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.

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.

Yes.

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

if a number can change randomly it is called a variable

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 "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

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.

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.

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.

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.