Question

Which mapping best represents the function f(x) = 2x2 + 5x + 3 when the domain is {–1, 0, 3}?

Answer 1

Answer:

Step-by-step explanation:

Given the function  f(x) = 2x^2 + 5x + 3 with the domain {-1, 0, 3}, to get the mapping that best represents the function, we will have to find the codomain of the function given by substituting the domain values into the function;

when x = -1

f(-1) = 2(-1)^2 + 5(-1)+ 3

f(-1) = 2 - 5+ 3

f(-1) = 0

when x = 0

f(0) = 2(0)^2 + 5(0)+ 3

f(0) = 0+0+ 3

f(0) = 3

when x = 3

f(3) = 2(3)^2 + 5(3)+ 3

f(3) = 18+15+ 3

f(3) = 36

Hence the mapping is {0,3,16}