Answer:
The second option
x ==> f(x)
-1 ==> 0
0 ==> 3
3 ==> 36
Explanation:
Given:
f(x) = 2x² + 5x + 3
{-1, 0, 3}
Required:
Determine the best mapping representing the function
SOLUTION:
First, find f(x) each domain value.
To find f(x), plug in the domain value into the function.
For -1, we have:
f(-1) = 2(-1)² + 5(-1) + 3
f(-1) = 2 - 5 + 3
f(-1) = 0
For 0, we have:
f(0) = 2(0)² + 5(0) + 3
f(0) = 0 + 0 + 3
f(0) = 3
For 3, we have:
f(3) = 2(3)² + 5(3) + 3
f(3) = 18 + 15 + 3
f(3) = 36
The mapping that best represents the function would be:
x (domain) ==> f(x) (range)
-1 ==> 0
0 ==> 3
3 ==> 36
The second option is the answer.