The function y=h(x) is defined as follows: h (x) ={x^2 for x<0 ,3-x for 0≤x<1, x^3 for 1≤x≤3, 5 for x>3
h(1)= and h(4)= ​

h(1) = 1

h(4) = 5

Step-by-step explanation:

Since 1 is in the interval 1 ≤ x ≤ 3, you must substitute 1 into the expression  

So, h(1) = = 1

Since 4 is in the interval x > 3, and all values of x > 3 gives an output of 5, then h(4) = 5

7

step-by-step explanation:

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.