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< -1

b. the range of the function is all real numbers.

c. the function is increasing over the interval x< -1

d. the domain of the function is all real numbers

e. the function has a relative minimum at (-1,5)

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) ).

lol we need to see what the question is asking about

step-by-step explanation: