Determine the domain and range of the function f(x) = –|x| + 2.

Hello from MrBillDoesMath!

Domain: all x

Range:     f(x) <=2

Discussion:

The domain of abs(x) is all real x, and this is the domain of f.

As abs(x) >=0,    ( or   -abs(x) <= 0)

f(x) = -abs(x) + 2 <=  0 + 2 = 2

Thank you,

MrB

All real numbers

less or equal to 2

Step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

step-by-step explanation: it is d