Answer:
Option C,D and E are correct.
Step-by-step explanation:
Clearly from the graph we could say that it is a graph of a quadratic function.so we will work on each of the following options:
A)
Clearly from the graph we could see that the graph is increasing on both the sides of -1.
Hence, option A is wrong. ( The function is decreasing over the interval x<-1).
B)
As the function is a quadratic function hence the range contains all the real numbers greater than or equal to 5 below 5 it won't take any value.
Hence option B is wrong.(The range of the function is all real numbers).
C)
clearly we could see that the function is increasing in the interval x<-1.
Hence, option C is correct.
D)
The function is defined for all of the real numbers.
Hence option D is correct. (The domain of the function is all real numbers).
E)
Clearly from the graph we could see that the function has minimum value at -1 and the graph is increasing before and after that.
Hence, option E is correct.( The function has a relative minimum at (-1,5) ).
