Question

For questions 10 through 13, let f(x) = [[x]].

What is f(0.35)?

What is f(-5.2)

What is f(10)?

Answer 1

Id on't understand the double [[]]. Isn't it just that number? But if it's negative it's positive because of absolute value?

Answer 2

I think I get, .35, 5., and 10

Answer 3

That is not the absolute value bars. It is either the floor function or the ceiling function.

Answer 4

Ah, I don't know which. it just gave me f(x)= [[x]]. How do I solve it?

Answer 5

http://www.mathwords.com/f/floor_function.htm

Answer 6

Let me see then it's 0, -5, 10?

Answer 7

Assuming it is the floor function, for each x value that is not already an integer, find the integer closest to x on the LEFT on the number line.

Answer 8

the integer closest to 0.35 on the left is 0.
the integer closest to -5.2 on the left is ?
the integer closest to 10 is ?

Answer 9

I was right was I not?

-5

10 as it's a whole number.

Answer 10

The integer to the left of -5.2 is -6.

The last one is 10.

Answer 11

f(5.2) = 5
f(-5.2) = -6

f(8.3) = 8
f(-8.3) = -9

f(100) = 100
f(205.874) = 205
f(-567.3215) = -568

Answer 12

For the ceiling function you have to look for integer to the right of it.
For the floor function you have to look for integer to the left of it.

Answer 13

Ah my bad, thank you!