Question

Determine if the function has a relative minimum or maximum. f(x) = - square root x + 2 + 4

The function has a relative ????

Answer 1

what do you think

Answer 2

\[\large f(x) = -\sqrt{x+2} + 4\]

Answer 3

You're subtracting some quantity from 4

Answer 4

so can this value ever be greater than 4 ?

Answer 5

no

Answer 6

so its minimum/?

Answer 7

that means 4 is the maximum possible value for that expression, right ?

Answer 8

yes

Answer 9

that makes sense

Answer 10

the value is 4 ?

Answer 11

so we say the function has a `maximum limit`

Answer 12

yes!

Answer 13

max and a value of 4

Answer 14

Yep !

Answer 15

cool

Answer 16

what about this one

Answer 17

Determine if the function has a relative minimum or maximum. f(x) = -(x - 9)^2 + 8

The function has a relative

Answer 18

you would subtract 8

Answer 19

wow! thats good thinking, lets work it that way .. .

Answer 20

really good!

Answer 21

so you're subtracting some positive quantity from 8

Answer 22

yay!

Answer 23

Can the value of the result ever be greater than 8 ?

Answer 24

yep

Answer 25

no

Answer 26

its minimum

Answer 27

that means 8 is the maximum value possible for the given funciton

Answer 28

its NOT minimum

Answer 29

ok max of 8?

Answer 30

8 is the maximum possible value for the given function

Answer 31

yep !

Answer 32

thats the answer

Answer 33

I see you nailed it :)

Answer 34

omg so happy! ;)

Answer 35

:D

Answer 36

thank you!