Question

A relation 'f' is defined by f(x) =x square -2 , where x={-2, -1, 0,3}

Answer 1

Answer:

• f = {2, -1, 1, 7}

Step-by-step explanation:

Given,

• f (x) = x² - 2
• where x = {-2, -1, 0, 3}

When x = -2,

⟶ f (x) = x² - 2

⟶ f (-2) = (-2)² - 2

⟶ f (-2) = 4 - 2

⟶ f (-2) = 2

When x = -1,

⟶ f (x) = x² - 2

⟶ f (-1) = (-1)² - 2

⟶ f (-1) = 1 - 2

⟶ f (-1) = -1

When x = 0,

⟶ f (x) = x² - 2

⟶ f (0) = 0² - 2

⟶ f (0) = 0 - 2

⟶ f (0) = -2

When x = 3,

⟶ f (x) = x² - 2

⟶ f (3) = 3² - 2

⟶ f (3) = 9 - 2

⟶ f (3) = 7

A relation f between two non - empty sets x and y is called a function from x and y if, for each x = X, there exists only one y = Y such that (x, y) = f.

• ∴ The above relation is a function