Ranking Functions by Average Value

Question

The table below shows the approximate average values for four functions on the interval $$[0, \pi]$$. Based on this data, which of the following lists the functions in increasing order of their average value?

| Function         | Average Value on $$[0,\pi]$$ |
|------------------|------------------------------|
| $$\sin(x)$$      | $$\approx 0.6366$$           |
| $$x$$           | $$\approx 1.5708$$           |
| $$2$$           | $$2.0000$$                   |
| $$x^2$$         | $$\approx 3.2899$$           |

Accepted Answer

$$\sin(x)$$, $$x$$, $$2$$, $$x^2$$

Answer

$$x^2$$, $$2$$, $$x$$, $$\sin(x)$$

Answer

$$x$$, $$\sin(x)$$, $$2$$, $$x^2$$

Answer

$$\sin(x)$$, $$2$$, $$x$$, $$x^2$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	isseiyoshida08	2	2	0m 00s	200
#2	sapark26	1	1	0m 00s	100
#3	angelina.chang.ut	1	1	0m 28s	72
#4	dgrumm	1	1	0m 31s	69
#5	bryantche0218	1	1	0m 35s	65
#6	arielhuang2022	1	1	0m 39s	61
#7	rainac0206	1	4	1m 18s	-8
#8	atombrain28	0	2	0m 00s	-20
#9	omar.nurdaulet24	0	1	0m 19s	-29
#10	srinikasriyamathur	1	1	2m 41s	-61

Function	Average Value on $[0,\pi]$
$\sin(x)$	$\approx 0.6366$
$x$	$\approx 1.5708$
$2$	$2.0000$
$x^2$	$\approx 3.2899$

Ranking Functions by Average Value

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