Question

how do you find the zeroes of a function algebraically? for example:

f(x) = 3x + 24

i was absent on the day the class was taught this, and the teacher decided to give a quiz on this right after they learned it, i’m gonna get a 0 if i don’t learn this. please explain.

Answer 1

Answer:

x = - 8

Step-by-step explanation:

To find the zeroes of a function means for what values of x (Independent variable) the f(x) i.e. y (Dependent variable) will become zero.

So, to find the zeros of a function we have to make an equation y = f(x) = 0.

In our case f(x) = 3x + 24

So, making f(x) = 0, we get, 3x + 24 = 0

⇒ 3x = - 24

⇒ x = - 8

Therefore, the zeroes of the function f(x) = 3x + 24 will be x = - 8. (Answer)

Since the function f(x) is linear i.e. maximum power of x in the function is 1, therefore, there will be only one zero of the function f(x).