Question

Look at the given table and find which option is correct regarding the table given below:

Input	Output
4	200
0	400
2	300

• A. Table represents a constant function.
• B. None of the above
• C. Table represents an increasing function.
• D. Table represents a decreasing function.

Answer 1

The correct option is D Table represents a decreasing function.

Looking at the table, we observe:

Input	Output
0	400
2	300
4	200

Let us take the output to be y and input to be x.

Let us take two points (0,400) and (2,300).

$\text{Slope}=\frac{\text{Change in y}}{\text{Change in x}}=\frac{300-400}{2-0}=-50$

We can see that the slope is negative.

This means that the output value is decreasing with resepct to the input values.

So, the table represents a decreasing function.