Question

A function satisfies the equation $\text{y}={\text{3x}}^2-5\text{x}+12$
Which of the following mapping diagram is true for the function?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Look at the options

We have 5, 8, 12, 15 as inputs

$\text{The equation is:}\text{y}={\text{3x}}^2-5\text{x}+12$

When input (x) = 5, output will be:
$=3\times {\text{5}}^2-5\times 5+12=75-25+12=62$

When input (x) = 8, output will be:
$=3\times {\text{8}}^2-5\times 8+12=192-40+12=164$

When input (x) = 12, output will be:
$=3\times {\text{12}}^2-5\times 12+12=432-60+12=384$

When input (x) = 15, output will be:
$=3\times {\text{15}}^2-5\times 15+12=675-75+12=612$

So, now implementing this in mapping diagram, we observe:


So, first option is the correct choice.