Question

Find the graph of the equation f(x)=sqrt(3x - 4)

Answer 1

In order to determine the graph of the function:

`f(x)=\sqrt[]{3x-4}`

We replace the values of x in order to find its behavior, but before that, we can see that the function will have an imaginary component if x has a lower value than 4/3, therefore our function is located in the positive sector of our plain. And we calculate using that 4/3 as our starting point:

f(4/3) = 0

f(2) = sqrt(2)

f(3) = sqrt(5)

f(4) = 2sqrt(2)

f(5) = sqrt(11)

f(6) = sqrt(14)

From this, we can graph and we will see the behavior of the function:

The function then, grows with each new value of x, and does not exist if the values of x are lower than 4/3.