You are watching: How to write an equation in function form

Apply the vertical heat test to recognize if your equation is a function. If you have the right to move a upright line along the x-axis and also only intersect one y at a time, her equation is a duty as it adheres to the just one calculation for each input rule.

Solve your equation because that y. For instance, if her equation is y -6 = 2x, include 6 to both political parties to acquire y = 2x + 6.

Decide top top a name for her function. Most functions use a one-letter name such as f, g or h. Identify what variable your duty depends upon. In the instance of y = 2x + 6, the role changes together the worth of x changes, for this reason the role is dependent upon x. The left side of your role is the name of your duty followed through the dependent variable in parenthesis, f(x) for the example.

girlfriend write attributes with the function name followed by the dependency variable, such together f(x), g(x) or even h(t) if the duty is dependent ~ above time. You review the function f(x) together "f the x" and h(t) together "h that t". Features do not need to be linear. The role g(x) = -x^2 -3x + 5 is a nonlinear function. The equation is nonlinear due to the fact that of the square of x, but it is tho a duty because there is only one answer because that every x. When assessing a function for a particular value, you ar the worth in the parenthesis quite than the variable. For the example of f(x) = 2x + 6, if you great to find the value once x is 3, you create f(3) = 12 because 2 times 3 to add 6 is 12. Similarly, f(0) = 6 and f(-1) = 4.

carry out not confuse duty names with multiplication. Function f(x) is not variable f times variable x. Duty f(x) is a role named f that depends upon x.

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you write attributes with the duty name adhered to by the dependency variable, such as f(x), g(x) or also h(t) if the duty is dependent ~ above time. You read the function f(x) as "f that x" and also h(t) together "h the t". functions do not have to be linear. The function g(x) = -x^2 -3x + 5 is a nonlinear function. The equation is nonlinear because of the square that x, yet it is still a function because there is just one answer because that every x. When examining a duty for a details value, you place the worth in the parenthesis fairly than the variable. For the example of f(x) = 2x + 6, if you wish to discover the value as soon as x is 3, you create f(3) = 12 since 2 times 3 plus 6 is 12. Similarly, f(0) = 6 and also f(-1) = 4.

carry out not confuse duty names v multiplication. Duty f(x) is not variable f time variable x. Role f(x) is a duty named f that counts upon x.

A experienced technical trainer, Casey Woods started writing professionally in 2000 because that Sams Publishing and also LinuxPlanet. Specializing in computer system graphics programming and also Web design, she is the author of a collection of maintain seminars. Woods holds a Bachelor the University studies in design from the college of brand-new Mexico.