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What else can I help you with?
A function may assign the same output value to two different input values?
True
A function may assign more than one output value to one of its input values?
false
Is a function a relation that assigns only one output value to each of its input values?
Answer - True, answer on apex.
If you double the input of a function and it results in half the output and if you triple the input and it results in a third of the output what can be guessed about the function?
~the function is most likely inversely proportional. ~more input results in less output.
Can a function have more than one output per one input?
No. A function has only one output per input.
Is range output or input vaule?
In mathematics, the range refers to the set of possible output values of a function, which are produced based on the input values (domain). Specifically, for a given function, the range consists of all the values that the function can take as outputs when the inputs are applied. Thus, the range is an output value set, while the input values belong to the domain.
If a given input value yields four output values that relationship can best be described as a function?
It’s False
Can you explain how to find the input if given a function rule and output?
To find the input given a function rule and output, you need to reverse the function rule. Start by substituting the output value into the equation and then solve for the input variable. This may involve algebraic manipulation, such as isolating the variable. Once you have done this, you will obtain the input corresponding to the given output.
The value that results from the substitution of a given input into an expression or function?
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.
What is a table organizing the input rule and output of a function?
A table organizing the input rule and output of a function is commonly referred to as a function table. It lists pairs of input values (independent variables) and their corresponding output values (dependent variables) based on the function's rule. Each row typically represents a specific input-output relationship, helping to visualize how changes in the input affect the output. This tool is often used in mathematics to analyze and understand the behavior of functions.
How do you graph functions?
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.
What is a table organizing the input rule and the output of the function?
A table organizing the input rule and the output of a function is often referred to as a function table or a mapping table. It displays pairs of input values alongside their corresponding output values, illustrating how the function transforms each input. This visual representation helps in understanding the relationship between inputs and outputs, making it easier to analyze the function's behavior. Each row typically consists of an input, the rule applied, and the resulting output.
How do you make a table with the range of a function?
To create a table with the range of a function, first identify the function and determine its domain. Evaluate the function at various input values within that domain to find the corresponding output values. Record these output values in a table format, ensuring to include both the input values (x) and their respective outputs (f(x)). Finally, analyze the collected output values to identify the range of the function.
What are the y values of a function?
The y values of a function represent the output values corresponding to each input (x value) in the function's domain. In a Cartesian coordinate system, these y values are plotted on the vertical axis and indicate how the function behaves as the input changes. For a given x value, the y value is determined by applying the function's rule or equation. Essentially, the set of all y values forms the range of the function.
What function generally consist of 2 components?
A function generally consists of two components: the input (or domain) and the output (or codomain). The input represents the values that are fed into the function, while the output is the result produced after applying the function to the input. Additionally, a function defines a specific relationship or rule that maps each input to a corresponding output.
What is the function rules of input and output?
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).
What is the Collection of all input values called?
The collection of all input values is called the "domain." In mathematics, the domain refers to the set of all possible inputs for a given function, which can include numbers, variables, or other elements, depending on the context. Each input in the domain corresponds to an output in the function's range.
