Question

What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

{x | x = –5, –4, –2, 0, 2}
{y | y = –9, –3, 0, 5, 7}
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Answer 1

if any function y = f(x) is given , then all value of x on which function is defined is known as domain. and value of f(x) in its domain is known as Range.
for example , of x = 3 exists in domain of f(x), then, f(3) is range .

here, {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
Means, x = -2, f(-2) = 0,
x = -4 , f(-4) = -3,
x = 2, f(2) = -9
x = 0, f(0) = 5
x = -5, f(5) = 7

hence, range of function is {f(-2), f(-4), f(2), f(0), f(5)}
= {y|y = -9, -3, 0, 5 , 7}

Answer 2

Answer:

Step-by-step explanation:

Range is the set of all output values of a function. In its simplest form the domain is all the values that go into a function, and the range is all the values that come out. (source- google)

We have the values as (-2,0) , (-4, -3), (2, -9), (0,5), (-5, 7)

 x = - 2,   f(-2) = 0

x = -4,    f(-4) = -3

x = 2 ,    f(2) = - 9

x = 0,     f(0) = 5

x = - 5,   f(- 5) = 7

So range of a function is {-9, - 3, 0, 5, 7}