Final Answer:
The values of the given functions in the piecewise function are: f(0) = -1, f(1) = 0 and f(2) = 3.
Step-by-step explanation:
To find the values of f(0), f(1), and f(2) for the piecewise function defined as:
f(x) = x - 1 if x ≤ 1
f(x) = 3 if x > 1
We will evaluate the function at the given points by using the definition of the function in each interval.
1. f(0):
Since 0 is less than or equal to 1, we use the first part of the piecewise function to evaluate f(0).
f(0) = 0 - 1 = -1
2. f(1):
We again look at the definition of the function. The value 1 is exactly the boundary between the two pieces of the function. However, by convention (and by the way the inequality is written), we will use the first part of the piecewise function.
f(1) = 1 - 1 = 0
3. f(2):
Since 2 is greater than 1, we use the second part of the piecewise function to evaluate f(2).
f(2) = 3
In summary:
- f(0) = -1
- f(1) = 0
- f(2) = 3
Complete question:
For the function defined here, find f(0), f(1), and f(2) by using the graph below.
f(x) = x - 1, if x ≤ 1
3, if x > 1