You how to remember input and output is like a machine do the rest.
Assuming the polynomial is written in terms of "x": It means, what value must "x" have, for the polynomial to evaluate to zero? For example: f(x) = x2 - 5x + 6 has zeros for x = 2, and x = 3. That means that if you replace each "x" in the polynomial with 2, for example, the polynomial evaluates to zero.
It is a bijective function.
The output is tripled.
It is 4.
The value that results from the substitution of a given input into an expression or function is the output. The value substituted into an expression or function is an input.
You how to remember input and output is like a machine do the rest.
For any given input, the function will only have one output value.
Itβs False
The rule of a function in math is what relates the input value to the output value. For example, if f(x) = x2, the "function rule" is to square the input value to get the output value.
Without knowing the specific function or equation being used, it is impossible to determine the output value if the input value is 4. In mathematics, the output value is dependent on the specific function or equation being evaluated. To find the output value when the input value is 4, you would need to know the function or equation being used and then substitute 4 in place of the input variable to calculate the output value.
The rule is what actions (operations) the function performs. The only requirement is that for each imput there is an output and that the same input always results in the same output. (Different inputs can have the same output).
A function--namely a parabola (concave up). To "evaluate" this function you would need an x value and would find the resulting y value. To "solve" this function, you would probably be given a y value and asked to find the corresponding x value(s).
Input
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.
A constant function is a function that always yields the same output value, regardless of the input. In other words, the function's output is a fixed value and does not depend on the input variable. Graphically, a constant function appears as a horizontal line.