Answer:
A
Step-by-step explanation:
This is a piece wise function. A piece wise function is a function made of more than one function over specific intervals. Here the function is made of two functions: y = x and y = 2.
- For all x values less than 2, meaning all values to the left of 2 on the x-axis, the function y=x is graphed. This is function directly through the origin with slope 1.
- For all x values equal to or greater than 2, meaning all values to the right of 2 on the x-axis, the function is a horizontal line through y = 2.
Using this, option A and D follow the intervals correctly. However, option D has a horizontal line at y = 1 instead of y = 2. Answer choice A is correct.
