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For every input there must be only one output for it to be a function What if there was more than one output to an input is it still then a function?
Wiki User
∙ 13y ago
No, it is not. A function can only have one output per input. (If it has more than one, it is still maths, but it cannot be called a "function". It would probably be called an equation or a formula etc...).
Wiki User
∙ 13y ago
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How would you determine from a list of ordered pairs whether it is a function?
When the value of one variable is related to the value of a second variable, we have a relation. A relation is the correspondence between two sets. If x and y are two elements in these sets and if a relation exists between xand y, then we say that x corresponds to y or that y depends on x, and we write x→y. For example the equation y = 2x + 1 shows a relation between x and y. It says that if we take some numbers x multiply each of them by 2 and then add 1, we obtain the corresponding value of y. In this sense, xserves as the input to the relation and y is the output. A function is a special of relation in which each input corresponds to a single (only one) output.Ordered pairs can be used to represent x→y as (x, y).Let determine whether a relation represents a function. For example:1) {(1, 2), (2, 5), (3, 7)}. This relation is a function because there are not ordered pairs with the same firstelement and different second elements. In other words, for different inputs we have different outputs. and the output must verify that when the account is wrong2) {(1, 2), (5, 2), (6, 10)}. This relation is a function because there are not ordered pairs with the same firstelement and different second elements. Even though here we have 2 as the same output of two inputs, 1 and 5, this relation is still a function because it is very important that these inputs, 1 an 5, are different inputs.3) {(1, 2), (1, 4), (3, 5)}. This relation is nota function because there are two ordered pairs, (1, 2) and (1, 4) with the same first element but different secondelements. In other words, for the same inputs we must have the same outputs. of a but
How do you integrate of e -2x?
To integrate e^(-2x)dx, you need to take a u substitution. u=-2x du=-2dx Since the original integral does not have a -2 in it, you need to divide to get the dx alone. -(1/2)du=dx Since the integral of e^x is still e^x, you get: y = -(1/2)e^(-2x) Well, that was one method. I usually solve easier functions like this by thinking how the function looked like before it was differentiated. I let f(x) stand for the given function and F(x) stand for the primitive function; the function we had before differentiation (the integrated function). f(x)= e-2x <-- our given function F(x)= e-2x/-2 <-- our integrated function Evidence: F'(x)= -2e-2x/-2 = e-2x = f(x) Q.E.D It's as simple as that.
Do you use algebra in every day life?
Yes, even tho you might not write it out, you still use it. When you go to the bank and deposit checks or withdraw money, you are using positive and negative numbers.
How do you find a tangent line?
Say you are given a function and an x value.(1) First find the y coordinate that corresponds to that x value by plugging x into the function and simplifying to find y = some #. Now you have a point (x, y) that is not only on the function, but also on the tangent line.(2) Take the derivative of the function.(3) If the derivative still has xs in it, plug in the x value you were given and simplify. This should give you an actual number--the slope of the tangent line.(4) From steps 1 and 3, you now have a point on the tangent line and the slope of the tangent line. Use these two things to write the equation for the tangent line in y=mx+b form (m is the sope, plug in the point you found, solve for b, then rewrite the equation replacing m and b but leaving in x and y).
If you have 266 meters of fencing to enclose a rectangular field what is the maximum area that can be enclosed?
Here you are given a perimeter and told that the field is rectangular. That gives us one equation. 2L + 2W = 266 (A rectangle has two pairs of sides - L and W - that are equal. The sum of all sides is equal to the perimeter by definition.) Area is calculated by multiplying length and width. This gives us our second formula. L * W = Area In the past, in algebra we could solve for one of the variables and then substitute and solve for the other. This is trickier. We CAN solve for one of the variable, for example, for L 2L + 2W = 266 2L = 266 - 2W L = 133 - W When we substitute that in to the other equation, however, we seem to hit a roadblock. (133 - W) * W = Area 133W - W2 = Area Now we still have two variables. but if you think back to the problem, there are multiple possible answers depending on the length and widths that are chosen. In this problem we want to maximize area. So instead, let's think of this problem as finding a maximum point of the following function: f(x) = 133W - W2 To find the rate at which the function (area), we take the derivitive of the function. f'(x) = 133 - 2W When a function reaches its maximum (or minimum point) the rate at which the value of the function is increasing (or decreasing) will go to zero. To better understand this, think of a rollercoaster. As your car climbs up a hill, the extra height you gain is still increasing, but near the top it will slowly level off to where you are not getting any higher (zero) and then decrease after. The same is true for this function. So what does that all mean? By setting the derivitive to zero, we can solve for the point(s) at which this function stops increasing (or decreasing) and hits a maximum (or minimum). f'(x) = 133 - 2W 0 = 133 - 2W 133 = 2W W = 133/2 or 66.5 The big question now is whether this is a minimum point in the function or a maximum. By taking the second derivitive we can test where this part of the function is concave up (like a U) or concave down (like an upside-down U). f''(x) = -2 This means that our function is concave down at all values of X. As the image suggests we are looking at a relative maximum point which is what we are looking for! So going back to our finding, we know that at the maximum area, W = 66.5; now we can solve for Y. 2L + 2W = 266 2L + 2(66.5) = 266 2L + 133 = 266 2L = 133 L = 66.5 So now we know the dimension of our rectangular field is 66.5 x 66.5. Now calculate the area with L x W. L x W = Area 66.5 x 66.5 = 4422.25 The maximum rectangular area that can be enclosed with 266 meters of fencing is 4,422.25 square meters. Double check my work. I have to quick finish this so I cannot check my calculations!
Is a USB cable an input or output device?
A usb cable is not a device. A USB drive would be a Storage Device and still not be an Input or Output device. A USB keyboard would be an input device and a USB printer would be an output device.
Is a cable an input or output device?
A usb cable is not a device. A USB drive would be a Storage Device and still not be an Input or Output device. A USB keyboard would be an input device and a USB printer would be an output device.
Is a screen an input or output?
Output. Even if the screen is a touchscreen, the screen itself is still output. The input is handled through a conductive layer on top of the screen, ultrasonic waves in front of the screen, or from an electrostatic field in front of the screen and not from the screen itself.
What is the difference between a production function and an isoquant?
A Production function tells you how much output you can produce for every combination of inputs.An Isoquant is a curve that shows all possible combinations of input that yield the same output Example of production function:(Q = output L= Labor K = Capital)Q = K + 5Lfor the isoquant for example, using the production function above, we want to find which levels of input would yield Q = 2020 = K + 5Lif K = 5, then L = 3 and if K = 10, then L = 2, your output would still be the same and that's your isoquant.But for your production function your output can have different values so you'd have multiple isoquant curves and multiple isoquant curves already describe an isoquant map (Isoquant map - shows a number of isoquant curves in a single graph, describing a production function)Hope my explanation wasn't too confusing...
What are the output devices of second generation computer?
The devices which gives/show output data of a computer are called "Out put devices".For example Monitor,Speaker and Printer.
What is the relationship between two variables?
The relationship between two variables is called a relation. A relation in which a set of input values maps onto a set of output values such that each input corresponds to at most one output is called a "function." Functions do not necessarily have to be lines; they do not even have to be exponential, or parabolic, or continuous. A bunch of scattered points or lines that meets the requirements can still be considered a function involving two variables.
Is if the output of the systemis 0 for 0 input it means the system is linear?
No, it does not necessarily mean that the system is linear. A linear system will exhibit a constant scaling property, which means that if the input is multiplied by a constant, the output will also be multiplied by the same constant. It is possible for a system to have an output of zero for a zero input, but still be non-linear if it does not exhibit the scaling property.
3 examples of output device?
output means the result which we get from the computer it can be in any format,, e,g vedio which we see on the screen sound which we here from the speaker or the printed form hard copy produced by the printer thankx for readin
Is a sensor an input?
Yes, anything that serves the same function as one of your five (or six) senses is an input device.Any type of sensor is an input device.Anything that reads is an input device.Anything that scans is an input device.Anything that sees (still camera or video camera) is an input device.Anything that hears (microphone or recording device) is an input device.Anything that "feels" (temperature sensor, humidity sensor, rain gage, or anything with buttons, like a keyboard and a mouse) is an input device.Anything that "tastes" or "smells" (smoke detector, CO detector, raydon detector, chromatograph, etc.) is an input device.In contrast, anything that makes you use your senses is an output device, including (but not limited to)...speakersmonitorsprintersdevices controled by the computerSome devices serve as both input devices and output devices, ibnlt...hard drive, thumb drive or other data storagetelephonecopiermodemnetwork router
Is the inverse of the function y equals x2 still a function?
No. If you invert that function, it will produce an equation that gives you two return values for one input value. This does not meet the definition of a function.
What do you mean by a current controlled device?
It is modeled as a 2-port "black box", where the input terminals accept a current (and are modeled by 'zero' resistance to that current), and the output is a function of the input current. the output may be a voltage or current (or other varying physical parameter, such as resistance). A bipolar transistor is well modeled as a current controlled device. The collector (output) current is a function of the base current: Ic = Beta * Ib. The hybrid-pi model changes that from a current controlled device to a voltage controlled device: Ic = F(Vbe), but the BJT transistor is still basically a current controlled device.
How many output amps from a 75kva transformer fed with 480 ckt.?
It depends on what the output voltage is. You only specified the input voltage, not the output voltage. The equation is 75 Kva = {some} amps times {some} kilovolts. (Minus incidental losses, of course, but you still need to know output volts.)
