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) ).

divide by 5

step-by-step explanation:

60/5 = 12

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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