# Determine the equation of a rational function with a hole at x -5 a y-intercept of 0.5 and vertical asymtotes at x -4 and x 2?

To have asymptote -4, put (x + 4) in the denominator. To have asymptote 2, put (x-2) in the denominator. For the hole at -5, put (x+5) in numerator and denominator. So we have:

(x + 5)/((x + 4)(x + 5)(x - 2)), now multiply this by a constant (A), then set x = 0, and solve for A such that y = 0.5.

A(0 + 5)/(4*5*(-2)) = -A/8. So if -A/8 = 1/2, then A = -4.

### What is characteristic equation in control systems?

Set 0=(denominator of the System Transfer Function), this is the Characteristic Equation of that system. This equation is used to determine the stability of a system and to determine how a controller should be designed to stabilize a system.

### Determine the point at which the graph of the function has a horizontal tangent line for the equation?

For the equation (9x^2)/(x^2+4)

### How do you determine if a relation represents a function?

If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!

### How do you determine if the graph of a quadratic function has a min or max from its equation?

If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value

### How can you determine that a set of ordered pairs are a graph table diagram equation a function or mere relation?

In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.

### Is y equals 3x plus 1 a function?

First, you have to have domain and range, a graph, or an equation in slope-intercept form ( y=mx + b) to determine if an equation is a function. The slope intercept form here is Y=3/1x + 1. So Yes, this equation is a function. If you want to know how to convert into y=mx + b form, ask how to do it here, or look it up on the internet. Hope I helped :-)

### How do you determine a equation that is function?

If an equation is a function, then: The set of coordinates doesn't consists of the same first member. For instance, the set can't contain (1,2) and (1,1). There exists only a function within the specific interval. For instance, f(x) = x within -1 ≤ x ≤ 1 and x + 2 within 1 < x ≤ 3. If f(x) = x and x + 2 within -1 ≤ x ≤ 1, then this doesn't make… Read More

### Is this equation a function y equals 3squared plus 2x minus 3 is this a function?

You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.

### How do you determine if an equation in x and y define y as a function of x?

The graphical way is probably the simplest. Draw a graph of the equation. Hold a ruler parallel to the y axis and slide it from left to right. If, at any point, the ruler touches the graph at more than one point then you do not have a function.

### Why does the discriminant determine the number and type of the solutions for a quadratic equation?

A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.

### What is radial solution in mathematics?

Radial solutions are unique linear and non-linear formula equations used in math to explain the Laplacian equation. To calculate problems, scientist must determine the function based on the variable provided in the equation.

### How aerospace engineers use the quadratic equation?

The quadratic equation is used to find the intercepts of a function (F(x)=x^(2*n), n being an even number) along its primary axis (typically the x axis). Many equations follow this form. The information given by the quadratic equation depends on what your function is pertaining to. If say you have a velocity vs time graph, when the function crosses the xaxis your particle has changed from a positive velocity to a negative velocity. This information… Read More

### How do you identify if an equation is function or mere relation?

you will know if it is Function because if you see unlike abscissa in an equation or ordered pair, and you will determine if it is a mere relation because the the equation or ordered pairs has the same abscissa. example of function: {(-1.5) (0,5) (1,5) (2,5)} you will see all the ordinates are the same but the abscissa are obviously unlike example of mere relation: {(3,2) (3,3) (3,4) (3,5)} you will see that the… Read More

### Is a linear equation the same as a function?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.

### If a function is defined by an equation explain how to find its domain.?

The set of all values of x, for which the equation is true is the domain of the function defined by that equation.

### What is thedifrent betweena quadratic equation and a quadratic function?

An equation just has an equal sign. A function is basically just an equation without one!

### Determine which is the graph of the function Here is the equation httptinyurlcom4bzq4m Here is choice's 1-2-3-4 httptinyurlcom49u2og httptinyurlcom3ernxz httptinyurlcom5xkelp httptinyurlcom4g8r4q?

The question was, let f(x) = 2x if x < -2, ...2x - 2 if -2 <= x <= 2, and ...-2 if x < -2; and what is its graph. You might call this a piecewise-defined linear function. The easiest way to determine this is to look at each interval and see: * Is the function a straight line on each whole interval? * Can you pick two points on each interval so that… Read More

### What is the equation of a logarithmic equation?

A logarithmic equation would be any equation that includes the log function.

### Do a linear equation and a function share the same definition?

No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.

### How can you determine if a function is a quadratic function from its equation?

If the highest exponent of independent variable(say x) is 2 and the highest exponent of dependent variable(say y) is 1 and x and y are not multiplied, then the function is quadratic. For example: 3x-y+x2= 2y-5x+7 represents a quadratic function but y= xy+x2+5 doesn't represent a quadratic function.

### When do you say that the equation is a function or not?

i may only be 10 yrs old but i can say that an equation is not an function like the graphs of quadratic functions you will only be given an equation

### Is there an instance that a linear equation is not a function?

There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.

### How do you know if an equation is a function or not?

An equation is a function if it is in y=mx+b form or has a y= in foront of it. f(x) is a classic way of writing a function. Ex) X^2 is a function

### Are linear equations and functions the same?

No. A linear equation is just one type of function. If you graph a linear equation, you get a straight line. A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc. No. A linear equation is just one type of function. If you graph a linear equation, you get a straight line. A "function" on the other hand can take on… Read More

### Which equation is a function of x?

Any equation which maps each value of x in the domain to a value in the range is a function of x.

### How do you identify if the given equation is function or not?

A function is an equation (a relation) which has only one y-value for every x-value. If a single x-value has more than one y-value, the equation is no longer called a function.

### True or false a rational function is a function whose equation contains a rational expression?

It is true that a rational function is a function whose equation contains a rational expression. This is used in various math classes.

### The function of a cell is determined by its?

structureThe shape of the protein will determine the cell. It will also determine the function of the cell.

### How does a function differ from an equation?

A function is a rule to calculate a variable, based on one or more other variables. It may be written as an equation, but unlike a generic equation, in a function, for every value of the input variables, it may ONLY have ONE result.

### Generally how do you fit a function to an EDF and CDF and is there a generic equation?

You can fit a function to an EDF and CDF through algebra. There is no generic equation.

### How can you tell a linear function from an equation?

An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.

### What is an example of a wrong function equation?

An example of a wrong function equation is f(x) = sqrt(x) for all non-negative x.

### Why do you do y equals mx plus b to determine the slope intercept form?

because that is the mathematical equation of the graphical representation. If x=0 the the value of the function i.e. y = b. This implies y intercept

### What is linear function?

A function is an equation that is a straight line when plotted on a graph.

### How do you determine an equation for the inverse of a function Example f of x equals 9x or g of x equals 4x plus 6?

The inverse of an equation is rewriting it as a function of the other variable. Simply solve the equation for x instead of y. y=9x can be written as x= (1/9)y --> fy=y/9◄ y=4x+6 (or 4x+6=y) -> 4x=y-6 -> x=(y-6)/4 --> gy=(y-6)/4■

### Is the linear equation X equals -14 a function?

No, this is not a function. The graph would have a vertical line at x=-14. Since there are more than one y value for every given x value, the equation does not represent a function. The slope of the equation also does not exist.

### Is y equals 3x squared-2 a function?

No. It's an equation. " 3x squared - 2 " is a function. As soon as you made it equal to something, you had an equation.

### Is the equation x equals 7 a function?

No. The equation x=7 has an undefined slope since it is simply a vertical line located at x = 7. A basic test for a function is if you can draw a vertical line through the graph of the equation and it touches in more than one place, it is NOT a function.

### How do you find for the zero of a linear function?

If it is a linear function, it is quite easy to solve the equation explicitly, using standard methods of equation-solving. For example, if you have "y" as a function of "x", you would have to solve the variable for "x".

### What is function notation?

Function notation is a way to name a function that is defined by an equation. For an equation in x and y, the symbol f (x) replaces y and is read as "the value of f at x" or simply as "f of x."

### Is the equation yx2 3 a function?

Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and any other relevant detail. However, if the equation is y = x^2 + 3 then… Read More

### How do you determine the maximum height of a projectile?

Find the velocity in the vertical direction in meters per second. Enter it into the equation 4.9t^2 + (the velocity)t + (initial height). Find where this function is at a max. This is easiest when you use a graphing calculator.

### How does DNA sequence determine protein function?

DNA sequences do not determine the function of any protein. DNA sequences determine the structure of the protein. That is particular amino acid sequence in protein only.

### When a linear equation can not be a function?

The linear equation x=5 or any other number is a vertical line. There are more than one possible answer for y. Therefore it is not a function.

### Without using a graph how can you tell if an equation is a function or relation?

Verticle line test man. If it intersects two points it is its not a function. if it hits one point it is a function. and im currently looking up to see how it is a equation...