Question

If $f(6) = - 3$ How do you write a corresponding ordered solution?

Answer 1

An algebraic expression is defined as an expression containing numerical values along with alphabets. When an algebraic expression contains two unknown variables and one variable is expressed in terms of the other variable, the algebraic expression is called a function. One of the variables whose value, we put ourselves is known as the independent variable and the other variable whose values are obtained is known as the dependent variable as its value changes with the value of the independent variable. The values that the independent variable takes are called the input values, and the obtained values of the dependent variable are called the output values. The input value for which the output value comes out to be zero is known as the solution of the function. Let the independent variable of a function f be x and the dependent variable be y, then the function is said to be a function of x and is represented as $y = f(x)$ .

Complete step by step answer:
We are given that $f(6) = - 3$
It can be written in statement form as –
The value of x for which the value of y comes out to be -3 is 6.
Hence the ordered solution of $f(6) = - 3$ is $(6, - 3)$ .

Note: To represent two variables we use the ordered pair. When a pair of numbers is written in a specific order, it is said to be an ordered pair. For example $(x,y)$ is an ordered pair and we must note that $(x,y)$ is not equal to $(y,x)$ . In this question, we have written $(x,y) = (6, - 3)$ that is $x = 6$ and $y = - 3$ .