Mitiku D. answered • 02/25/15
Tutor
4.9
(205)
Electrical Engineer, Patient and Objective
Shane,
domain and of f(x)=x^2+4 and f(x)=(x+1)^2-6 is all real numbers. Remember domain just means the set of values that can be x in this f(x) excluding any numbers that can't be substituted for x. All real numbers w/out exception can be a that's the domain.
range of f(x)=x^2+4
f(x) = x2+4 is the graph of f(x) = x2 shifted up 4 units. As you know (you should have memorized this) the range of f(x)=x2 is (0, infinity). Therefore, the range of f(x) = x2+4 has to be (4,infinity)
and f(x)=(x+1)2-6. Can you see that this is the graph of f(x) = x2 shifted 1 unit to the left and 6 units dawn? Therefore, (6, infinity). Graph it if you still can't see.
