Answer
a. The domain of the function is [-4, ∞).
b. The y-intercept is (0,0).
c. The graph is shown below.
d. The range of the function is [-4,0)∪(0,∞).
Work Step by Step
a. Domain of the function:
The domain of f(x)=x is -4≤x<0.
The domain of f(x)=1 is x=0.
The domain of f(x)=3x is x>0.
Combining both domains, we get the domain x>-4 or [-4, ∞).
b. Intercepts of the function:
The y-intercept of the function is (0,1).
c. See the graph above.
d. Range of the function:
From the graph, we find that the range is [-4, 0)∪(0,∞).
