Question

Use the mapping shown above to show the value of the function f(x) at each point.

OA) f-1) - 5, f0) = 3.f(1) = 5.f2) = 11.f(3) = 21
O B) f(1) - 5, f(0) =3, f(1) = 5.f(2) - 11, f(3) = 21
Oc) f5) =-1, f(3) = 0, f(5) = 1.f(11) = 2,f(21) -3
O D) f(-1) = 5,f0) = 3.f1) = 5.f(2) = 21, f(3) = 11

Answer 1

The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21 ⇒ A

Explanation:

Let us use the mapping shown to solve the question

∵ f(x) = y

∵ x is the domain

∵ y is the range

→ From the figure use x from the domain and y from the range, where

each arrow pointed at the corresponding value y of x

∵ x = -1 and the corresponding value of y is 5

∴ f(-1) = 5

∵ x = 0 and the corresponding value of y is 3

∴ f(0) = 3

∵ x = 1 and the corresponding value of y is 5

∴ f(1) = 5

∵ x = 2 and the corresponding value of y is 11

∴ f(2) = 11

∵ x = 3 and the corresponding value of y is 21

∴ f(3) = 21

The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21