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A function is considered positive when its output values are greater than zero for all inputs in a specified domain. In mathematical terms, if ( f(x) > 0 ) for all ( x ) in a given interval, then the function is positive over that interval. This property indicates that the function does not cross or touch the x-axis in that domain. Positive functions are often used in various fields, including economics and physics, to represent quantities that cannot be negative, such as profit or distance.
What else can I help you with?
What is an absolute mean?
An absolute mean is a mean of the absolute magnitude of a function with both positive and negative values.
How does knowing the zeros of a function help determine where a function is positive?
Knowing the zeros of a function helps determine where the function is positive by identifying the points where the function intersects the x-axis. Between these zeros, the function will either be entirely positive or entirely negative. By evaluating the function's value at points between the zeros, one can determine the sign of the function in those intervals, allowing us to establish where the function is positive. This interval analysis is crucial for understanding the function's behavior across its domain.
If a function is positive at a test number does the function has no zeros?
false!
Which the function's values become very positive or negative numbers?
The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).
Give an example of a relation that is NOT a function and explain why it is not a function?
y² = x --> y = ±√x Because there are *two* square roots for any positive number (positive and negative) this will not be a function.
What is an absolute mean?
An absolute mean is a mean of the absolute magnitude of a function with both positive and negative values.
The discriminant of the function is?
positive
How does knowing the zeros of a function help determine where a function is positive?
Knowing the zeros of a function helps determine where the function is positive by identifying the points where the function intersects the x-axis. Between these zeros, the function will either be entirely positive or entirely negative. By evaluating the function's value at points between the zeros, one can determine the sign of the function in those intervals, allowing us to establish where the function is positive. This interval analysis is crucial for understanding the function's behavior across its domain.
If a function is positive at a test number does the function has no zeros?
false!
Which the function's values become very positive or negative numbers?
The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).
Linear function increasing?
A linear function is increasing if it has a positive slope. To find this easily, put the function into the form y=mx+b. If m is positive, the function is increasing. If m is negative, it is decreasing.
Give an example of a relation that is NOT a function and explain why it is not a function?
y² = x --> y = ±√x Because there are *two* square roots for any positive number (positive and negative) this will not be a function.
Is Sin a negative function or positive?
negative
When is a function would be positive real function?
A function is positive on an interval, say, the interval from x=a to x=b, if algebraically, all the y-coordinate values are positive on this interval; and graphically, the entire curve or line lies above the x-axis.on this interval.
Is the cube root of negative number a positive?
No, because the inverse function would not work. Every time you multiply a positive by a positive you get a positive.
What is the collection of all output values called?
All the output values of a function are collectively called the "range" of that function. For example, consider the function x2. Any number squared will give a positive. Thus, the "range" of the function is positive numbers.
Why negative numbers don't have logarithim?
The logarithmic function is not defined for zero or negative numbers. Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers. (Wait until you get to complex analysis, though!)
