Does x+y=35 define y as a function of x? ....basically is it a function or no
yes it is a function.
Well, if we go by the definition of a function, it states that for each value of x, there should be only one corresponding value of y. In this case, we can solve for y in terms of x by subtracting x from both sides of the equation. So we have y = 35 - x.
Therefore, x + y = 35 does define y as a function of x, as long as x is a real number. But be careful not to mix things up and find yourself in a situation where x and y start performing circus tricks together! 🎪
The equation x+y = 35 does not define y as a function of x. In a function, for each value of x, there should be only one corresponding value of y. However, in this equation, there are infinitely many possible values for y that satisfy the equation for a given x. Therefore, it is not a function.
To determine if the equation x + y = 35 defines y as a function of x, we need to check if for every value of x, there is a unique value of y that satisfies the equation. In other words, if we can solve for y in terms of x.
Let's rearrange the equation to isolate y:
x + y = 35
y = 35 - x
Now we can see that y is expressed in terms of x. This means that for every value of x, there is exactly one corresponding value of y that satisfies the equation. Therefore, y is defined as a function of x in this case.