If it's a linear function, 3 should do, but 4 will give an extra check on you work. If the function is quadratic exponential, etc. then at least 4 pairs should be used.
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.
Below is a rule that is an example of a non-linear function when b is 49, a is 7 and a is a function of b: a = square root of b 7 = square root 49 7=7
exponential
A function is a relationship between a set of inputs and a set of outputs. The key requirement is that each allowable input relates to exactly one output value. Equations are often used to define a function. That is, the relationship is given by a rule that tells how to find the output from any given input. For example f(x)= 7x-2 says in words, given an input number, say x, multiply it by 7 and subtract 2, to get the associated output. 7x - 2 is called a linear expression because its highest power is one (and a function defined by a linear expression is called a linear function. ) A linear equation is an equation between two linear expressions. Example: 2x + 3 = 7x - 2.
yes
No. It is a sequence for which the rule is a quadratic expression.
If it's a linear function, 3 should do, but 4 will give an extra check on you work. If the function is quadratic exponential, etc. then at least 4 pairs should be used.
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.
Below is a rule that is an example of a non-linear function when b is 49, a is 7 and a is a function of b: a = square root of b 7 = square root 49 7=7
y=ax+b a=slope b=y intercept
A function is considered linear if it follows the rule of proportionality, meaning that the relationship between the input and output values is constant and can be represented by a straight line on a graph.
There is no general rule to convert an exponential into a whole number.
exponential
The rule you have described is likely a linear function. When the input is -2 and the output is 4, it means that the function relates these two values through a specific mathematical operation. To determine the exact rule, we need more data points or information about the function's form (e.g., y = mx + b for a linear function).
A function is a relationship between a set of inputs and a set of outputs. The key requirement is that each allowable input relates to exactly one output value. Equations are often used to define a function. That is, the relationship is given by a rule that tells how to find the output from any given input. For example f(x)= 7x-2 says in words, given an input number, say x, multiply it by 7 and subtract 2, to get the associated output. 7x - 2 is called a linear expression because its highest power is one (and a function defined by a linear expression is called a linear function. ) A linear equation is an equation between two linear expressions. Example: 2x + 3 = 7x - 2.
Accuracy, for a given size. The circular rule occupies space more efficiently and uses a spiral scale, so an 8 " Circular slide rule may be the equivalent in accuracy of 10 FEET of a linear rule.