Question

Let y=|x|-2, where the domain is the set of integers from – 4 to 4.
What is the range?

Answer 1

i dont know i wish I could help.

Answer 2

-2 to 2

Explanation:

see there's the sign of absolute value around x

so even if we put a negative number in place of x we'll get a positive outcome.

for example,

• if x = -4

|x| = 4

• if x = -3

|x| = 3

and so on

so the actual domain of |x| reduces to => 0 to 4.

as you'll get the values of |x| in between 0 and 4 throughout -4 to 4.

where the smallest value is 0 and largest is 4.

for range,

I'll just put these smallest and largest values in place of x and solve for domain

at x = 0

y= |0| - 2

y = -2

at x = 4

y = |4| - 2

y= 4 - 2

y = 2

so, the range of the function becomes -2 to 2.