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How do we know that the input have one output or more in a function in math?
By definition. If one input has more than one outputs then it is not a function.
What is the difference between nonlinear and linear functions?
Linear function:No variable appears in the function to any power other than 1.A periodic input produces no new frequencies in the output.The function's first derivative is a number; second derivative is zero.The graph of the function is a straight line.Non-linear function:A variable appears in the function to a power other than 1.A periodic function at the input produces new frequencies in the output.The function's first derivative is a function; second derivative is not zero.The graph of the function is not a straight line.
Can you have an input with 2 different outputs in math?
Yes, square root is one such example: square root of 4 is +2 or -2. The radical symbol (√) is used to denote the positive square root of a number; ie √4 = 2; The square root of a number is thus ±√(the number), eg square root of 4 is ±√4 = ±2.
What output is 4 more than twice the input 3?
10
Is it possible to get more than one output number for an input number?
It is possible.
How do we know that the input have one output or more in a function in math?
By definition. If one input has more than one outputs then it is not a function.
What are the functions of algorithm?
A function is any relationship between inputs and outputs in which each input leads to exactly one output. It is possible for a function to have more than one input that yields the same output.
Can a function have more than one input?
yes
Can a function have more than one output per one input?
No. A function has only one output per input.
What is the difference between function and a relation?
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
Why cant a vertical line pass through a function more than once?
Because a function is defined as having distinct outputs for every input therefore... you can never have two values for one x value and you can see this relationship by drawing a vertical line.
How does the vertical line test determine if a graph represents a function?
Functions cannot have two y-values (outputs) for any single x-value (input), so if you can draw a vertical line that touches more than 1 point on the graph, it is not a function.
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?
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...).
How can you add headphones to a TV with only line level outputs?
You need a 'headphone amplifier'. It will have a line-level input and may have several outputs so you can plug in more than one pair of headphones. It will require powering.
A function takes in values of variable called inputs and gives back values of the variable called outputs?
No. A function takes in values of no, one, or more input variables, and returns no or one result. It cannot return more than one result. Do not confuse this with returning multiple results using call by reference parameters - this is not the same thing.
A function may assign more than one output value to one of its input values?
false
What sentence expresses the pattern of Fn if a table shows some input and output values for a function named Fn?
The output is 1 more than 10 times the input.
