Question

given f (x) =(-1)^x is a function from N to Z . then the range of f is a. {1} b. N c. {-1,-1} d.{1,-1}​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

it is given that, function f (x) = (-1)^x where $f:\mathbb{N}\rightarrow\mathbb{Z}$

here it is clear that domain of given function is all natural numbers.

we know, A natural number is either an odd number or an even number.

so when x ∈ even numbers

f(x) = (-1)^x = 1

when x ∈ odd numbers

f(x) = (-1)^x = -1

hence range of given function is f(x) ∈ {1, -1}

therefore, option (d) {1, -1} is correct choice.

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