Can someone who's really good at math help me with this? for f(x) evaluate each of the following:
a. f(0)
b. f(6)
show all your work

Step-by-step explanation:

a)

f(0) is just the function f(x) evaluated at 0, meaning we need to plug in 0 to the function.

What piece of this function should we plug 0 in? Well, because 0 is less than 5, plug it into the first piece.

so f(0) = 0 + 4 = 5

b)

By similar reasoning:

f(6) = 8

because 5 <= 6 < 7

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

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.