0
What else can I help you with?
Do all rational functions have holes?
Not all rational functions have holes. A rational function is a ratio of two polynomials, and holes occur at points where both the numerator and denominator equal zero, indicating a common factor. If a rational function has no common factors between the numerator and denominator, it will not have any holes, although it may have vertical asymptotes or other features.
Do you Evaluate functions?
You can evaluate functions at points. For example, my pay is a function of how many hours I work. At 5 hours I can evaluate the result.
How do you graph trigonometric functions?
You find the average rate of change of the function. That gives you the derivative on different points of the graph.
How do graphs help you understand functions?
Typically, functions are graphed on x-y coordinates. A function of x means that for every x point, there must be a single y point. You can also many properties by graphing a function, such as the minimum and maximum points, slopes and inflection points, and the inverse of the function (y values plotted on x coordinate, and x values on y coordinate).
Which of the two functions below has the smallest minimum y-value?
To determine which function has the smallest minimum y-value, you need to analyze the functions themselves, typically by finding their critical points through differentiation and evaluating their values at those points. If the functions are quadratic, the vertex can indicate the minimum y-value. Without the specific functions provided, I can't give a definitive answer, but you would compare these critical points to find the smallest minimum y-value.
What is the first function to have points in common with the domain of the second function?
If you want to compose two functions, you need the range of the first function to have points in common with the _____ of the second function.
If you want to compose two functions you need the of the first function to have points in common with the domain of the second function?
range
What are path functions?
a function whose magnitude depends on the path followed by the function and on the end points.
Are there points of discontinuity for exponential functions?
There are no points of discontinuity for exponential functions since the domain of the general exponential function consists of all real values!
Do all rational functions have holes?
Not all rational functions have holes. A rational function is a ratio of two polynomials, and holes occur at points where both the numerator and denominator equal zero, indicating a common factor. If a rational function has no common factors between the numerator and denominator, it will not have any holes, although it may have vertical asymptotes or other features.
Do you Evaluate functions?
You can evaluate functions at points. For example, my pay is a function of how many hours I work. At 5 hours I can evaluate the result.
How do you graph trigonometric functions?
You find the average rate of change of the function. That gives you the derivative on different points of the graph.
What function is g(-3) and g(5)?
g(-3) and g(5) are not functions but the values of the function g(x) at the points x = -3 and x = 5.
What has the author Jonathan P Keating written?
Jonathan P. Keating has written: 'Resummation and the turning-points of zeta function' -- subject(s): Functions, Zeta, Zeta Functions
How do graphs help you understand functions?
Typically, functions are graphed on x-y coordinates. A function of x means that for every x point, there must be a single y point. You can also many properties by graphing a function, such as the minimum and maximum points, slopes and inflection points, and the inverse of the function (y values plotted on x coordinate, and x values on y coordinate).
How do you graph linear functions?
A linear function is called "linear" because it represents a straight line. To graph a linear function, find two points that satisify that function, plot them, and then draw a straight line between them.
What is the relation of probability with other subjects?
A correlation function is the correlation between random variables at two different points in space or time, usually as a function of the spatial or temporal distance between the points. If one considers the correlation function between random variables representing the same quantity measured at two different points then this is often referred to as an autocorrelation function being made up of autocorrelations. Correlation functions of different random variables are sometimes called cross correlation functions to emphasise that different variables are being considered and because they are made up of cross correlations.Correlation functions are a useful indicator of dependencies as a function of distance in time or space, and they can be used to assess the distance required between sample points for the values to be effectively uncorrelated. In addition, they can form the basis of rules for interpolating values at points for which there are observations.Correlation functions used in astronomy, financial analysis, and statistical mechanics differ only in the particular stochastic processes they are applied to. In quantum field theory there are correlation functions over quantum distributions.
