How do I tell if (x-4)/-3=y is a function?
thanks
It tells you wnat y is in terms of x. It is therefore a ntion.
To determine if the equation (x-4)/-3 = y represents a function, you need to check if each input value (x) corresponds to a unique output value (y). Here's how you can do it:
Step 1: Solve the equation for y:
(x-4)/-3 = y
Step 2: Simplify the equation:
Multiply both sides of the equation by -3 to eliminate the fraction:
(x-4) = -3y
Step 3: Rearrange the equation in the form y = f(x):
Divide both sides of the equation by -3 to isolate y:
y = (x-4)/-3
Step 4: Check if it is a function:
A function is a relationship where each input value (x) has exactly one corresponding output value (y).
In this case, every value of x will result in a unique value of y. Thus, for any given x, the equation (x-4)/-3 = y will give you a specific value for y. Hence, it is a function.
Therefore, the equation (x-4)/-3 = y represents a function.