Question

Gregor is documenting the height of pea plants each week. He has determined the function to be f(x) = 2x + 1.

Based on the situation above, describe any necessary restrictions to the domain and range. Provide justification for the restrictions.

Answer 1

@rsadhvika

Answer 2

Gregor got nothing better to do wid his time :o

Answer 3

yeah lmao

Answer 4

gotta has to make sure his pea plants are the right height xD

Answer 5

he is measuring the height of pea plants each week and, and documenting them

Answer 6

so the range is 0 or higher?

Answer 7

I'm assuming a pea plant can't be shorter then 0 inches lol

Answer 8

Yup, height can never be negative... thats the first thing came to my mind also :)

Answer 9

maybe its an upside down pea plant

Answer 10

could be growing backwards into the ground :)

Answer 11

lol dont think extremes okay

Answer 12

alright so the range is 0, whats domain again?

Answer 13

so, range is

f(x) >= 0

Answer 14

since he starts from today,

time also we can take as >= 0 right ?

Answer 15

so domain also >=0 because, the time here is assumed to be starting at 0, and oly goes forward... no timetravel/back to future stuff here ok

Answer 16

so the domain is equal to or greater then 0 because he can't go back in time to plant a pea plant lol?

Answer 17

yup ! we're in same page lol

Answer 18

just i want u notice one thing.

Answer 19

Given function :-

```
f(x) = 2x + 1
```

Answer 20

right side, x is time.

left side, f(x) is height.

Answer 21

to this funciton,
if u give time x, it gives u height

Answer 22

wait so the time starts at 2 lol?

Answer 23

time starts at 0

Answer 24

f(x) = 2x+1

put x = 0,

f(x) = 1

Answer 25

so he started measuring, when the pea plant was 1 inch long

Answer 26

so the height range would be 1 or more?

Answer 27

omg ! you're goood :) yes

Answer 28

range wud be >= 1

Answer 29

domain wud be >= 0

Answer 30

alright I got it

Answer 31

nice :) you're alert enough to catch my mistake before :)

Answer 32

so our pea plant is not capable of time travel and cannot shrink to the negatives :)

Answer 33

yup ! we're not such advanced yet lol

Answer 34

maybe someday lol

Answer 35

may be if we do time travel also, height can never start at negative

Answer 36

eh we'll figure something out lol

Answer 37

u have a plant. or u dont have it
there is no such thing as negative height

Answer 38

lol just gotta believe

Answer 39

length = can never become negative

thats obvious lol, believing is different thing

Answer 40

:)

Answer 41

Amelia is planning the trajectory of her next flight using the altitude and distance from Paris, France. She has determined her function to be f(x) = -4x + 102.

Based on the situation above, describe any necessary restrictions to the domain and range. Provide justification for the restrictions.

Answer 42

help me please