Write y = 3x - 1 in function notation and evaluate the function at x = 0, x = 3, and x = z. Please label your values and use the correct notation when posting.
f(x) = 3x - 1
f(0) = 3(0) - 1 = -1
f(3) = 3(3) - 1 = 8
f(z) = 3z - 1
To write y = 3x - 1 in function notation, we need to replace y with f(x) to represent it as a function. Therefore, f(x) = 3x - 1.
Now, let's evaluate the function at different values of x:
1. For x = 0:
We substitute x = 0 into the function f(x) = 3x - 1:
f(0) = 3(0) - 1
f(0) = 0 - 1
f(0) = -1
2. For x = 3:
We substitute x = 3 into the function f(x) = 3x - 1:
f(3) = 3(3) - 1
f(3) = 9 - 1
f(3) = 8
3. For x = z:
We substitute x = z into the function f(x) = 3x - 1:
f(z) = 3z - 1
It is important to note that when evaluating the function at x = z, we don't have specific information about the value of z. Therefore, we leave it as f(z) = 3z - 1.
In summary, after evaluating the function at different values, we have:
f(0) = -1
f(3) = 8
f(z) = 3z - 1, where z is a variable and represents an unspecified value.