Consider the following graph of a quadratic function. Which of the statements are true? Select all that apply.A. The function is decreasing over the interval x<-1B. The range of the function is all real numbers.C. The function is increasing over the interval x<-1D. The domain of the function is all real numbersE. The function has a relative minimum at (-1,5)

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) ).