What are the domain and the range of this function?

Domain: [-5,1)

Range: [-4,7)

Step-by-step explanation:

Domain and Range

The graph shows a straight line that represents a function whose domain and range we are to determine.

To find the domain of a function given its graph we draw imaginary vertical lines from -∞ to +∞. The values of x where the line meets the graph belong to the domain.

We can find the domain of the function is [-5,1). Note the left endpoint is included because there is a solid dot and the right endpoint is not because the dot is hollow.

Similarly, the range can be determined by using horizontal lines. We can see such lines meet the graph in values of y ranging from -4 to 7. The latter not included. Thus, the range is [-4,7)

Domain: [-5,1)

Range: [-4,7)

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

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.