Max and mins for a constant function

Thread starter new_at_math
Start date Nov 19, 2013
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Constant Function Max

In summary, a constant function is a mathematical function where the output is always the same for any input. It is represented by a horizontal line on a graph. Since the output is constant, there are no maximum or minimum values for a constant function. It can only have one maximum and one minimum value. Constant functions can be used to represent real-life situations where the output remains the same regardless of the input. The main difference between a constant function and a linear function is that a constant function has a constant output, while a linear function has a constant rate of change.

Nov 19, 2013

new_at_math

how would describe the max/ min for the a constant function,eg. y =5
would you say all points are absolute and local max and mins?

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Nov 19, 2013

SteamKing

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That's what constant means.

1. What is a constant function?

A constant function is a type of mathematical function where the output (y-value) is always the same for any input (x-value). In other words, the graph of a constant function is a straight horizontal line.

2. How do you find the maximum and minimum values of a constant function?

Since a constant function has the same output for any input, it does not have a maximum or minimum value. The maximum and minimum values are the same for all points on the graph.

3. Can a constant function have multiple maximum or minimum values?

No, a constant function can only have one maximum and one minimum value. This is because the output (y-value) is the same for all input (x-value).

4. How can constant functions be used in real-life situations?

Constant functions can be used to represent situations where the output remains the same regardless of the input. For example, the price of a certain item may be constant, or the speed of an object moving at a constant velocity.

5. What is the difference between a constant function and a linear function?

The main difference between a constant function and a linear function is that a constant function has a constant output, while a linear function has a constant rate of change. This means that a linear function will have a non-zero slope, while a constant function will have a slope of 0.