Let $f(x) = \lfloor x \lfloor x \rfloor \rfloor$ for $x \ge 0.$ (a) Find all $x \ge 0$ such that $f(x) = 1.$

(b) Find all $x \ge 0$ such that $f(x) = 3.$

(c) Find all $x \ge 0$ such that $f(x) = 5.$

(d) Find the number of possible values of $f(x)$ for

1. 34

2. 268

3. x=14.4

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1