Ordering Function and Average Values

Question

The function $$A$$ is defined by $$A(x)=x^2+1$$. The table below provides the values of $$A(x)$$ at $$x=0, x=1$$, and $$x=2$$, along with the average value of $$A$$ on the interval $$[0,2]$$. Which of the following lists these four quantities in increasing order?

| Description | Value |
|---|---|
| Value at $$x=0$$ | 1 |
| Value at $$x=1$$ | 2 |
| Value at $$x=2$$ | 5 |
| Average value on $$[0,2]$$ | $$\frac{7}{3}\approx2.33$$ |

Accepted Answer

$$A(0)$$, $$A(1)$$, Average, $$A(2)$$

Answer

$$A(2)$$, $$A(1)$$, Average, $$A(0)$$

Answer

Average, $$A(0)$$, $$A(1)$$, $$A(2)$$

Answer

$$A(0)$$, Average, $$A(1)$$, $$A(2)$$

Description	Value
Value at $x=0$	1
Value at $x=1$	2
Value at $x=2$	5
Average value on $[0,2]$	$\frac{7}{3}\approx2.33$

Ordering Function and Average Values

Question Leaderboard