Answer: shown below
Explanation:
It’s hard to explain but,
First you need to find the slope and y intercept of the equation and graph that. Graph y=3x-5. Graph y= -2x+3. Graph y=2. (In case you don’t know, f(x) is y.)
Then use the equation after the “if”. For example, to graph -1 < x < 4 for the equation y= -2x+3, find the numbers -1 and 4 located on the graph and find the points y=-2x+3 has on number -1 and 4. Both numbers are a open circle.
Do the same for the rest of the equations.
For the equation y= 2, the equation is x>4 (there’s a line under >, just can’t add it), Locate 4 on the graph. Find the point above 4. It is a closed circle pointing to the right because it is all numbers greater than or equal to 4.
Then for the equation y= 3x-5, the equation for it is x< -1. (Again, there’s a line under <) Find -1 on the graph. Look for the point y=3x-5 has under -1. It is a closed circle because all numbers are less than or equal to -1.