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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.

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No. Only a linear function has a constant rate of change.

Q: The rate of change of any nonlinear function is constant?

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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.

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

One definition of the derivative is: "Rate of change". Since a constant is constant, it doesn't change, and the rate at which it changes is zero.

Depending on the situation, a rate of change can be constant (at least over a certain time period), or it may be non-constant.

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It has a constant rate of change. It can be curved. It looks like a straight line. It must cross the origin.

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.

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

a roller coaster. It doesnt have a constaant 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.

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.

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

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.