What is the domain and range of the function in the graph written using interval?
a. the domain is [2,8] and the range is (6,8].
b. the domain is (2,8) and thr range is (6,8).
c. the domain is (2,8] and the range is [6,8).
d. the domain is [2,8] and the range is [6,8].

  choice c

Step-by-step explanation:

The domain is the horizontal extent. The interval 2 < x ≤ 8 is written in interval notation using a curved bracket for the inequality that does not include the equal sign. (2, 8].

The range is the vertical extent. 6 ≤ y < 8. Same deal with notation: [6, 8).

Of course, the open circle at (2, 8) means that point is not part of the function definition.

c. The domain is (2,8] and the range is [6,8).

Step-by-step explanation:

For the range, a closed circle starts from 6, which means it is included, so it gets a bracket; it then runs to the opened circle at the 8, which means it is not included, so it gets the parenthesis.

For the domain, an opened circle starts from 2, which means it is not included, so it gets a parenthesis; it then runs to the closed circle at the 8, which means it is included, so it gets the bracket.

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solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.