Question

A piecewise function is represented by the graph below.

What is the domain for the piece of the function represented by f(x) = x + 1?
x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1

Answer 1

the answer is x > 1 on ed2020

Answer 2

Answer: The domain for the piece of the function represented by f(x)=x+1 is

x>1 (fourth option )

Solution:

The function represented by f(x)=x+1 is the right line that passes through the points:

x=2→f(x)=f(2)=2+1→f(2)=3→Point=(2,f(2))→Point=(2,3)

x=3→f(x)=f(3)=3+1→f(3)=4→Point=(3,f(3))→Point=(3,4)

According with the graph, this right line is on the right side, and this line starts at x>1, then the domain is x>1