Can someone everything's in the picture.

(a) Each input has only 1 output, making it a function.

(b) If any of the inputs had multiple outputs, it would not be a function. For example, if Input: 4 Output: 9 was on the table, it would no longer be a function since there is already a different output value for 4.

(c) y = 2x - 1... This equation works since 2(3) - 1 = 5, 2(4) - 1 = 7, 2(6) - 1 = 12, and 2(11) - 1 = 22

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.