Question

Which is the graph of the piecewise function f(x)? f(x)= {-x+1, x<0, x+1,x>0

Answer 1

The graph is attached.

Explanation:

The first piece of the function, f(x) = -x+1, has a y-intercept of 1 and a slope of -1. This means it will be decreasing by 1 for every increase in x until it hits the y-intercept of 1.

The second piece of the function, f(x) = x+1, has a y-intercept of 1 and a slope of 1. This means it will start at the y-intercept of 1 and increase by 1 for every increase in x.

Answer 2

Hello,
Please, see the attached file.
Thanks.