Question

The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. What does the graph tell you about the value of n in this function? (I'm getting graph)

Answer 1

Well it is even if it undefined before x=-5.

Answer 2

Does this relate to domain and range?

Answer 3

My teacher didnt go over any of this, so I am confused trying to figure out some of these,

Answer 4

Both, in fact.
The domain (and range) are limited, that means the value of n makes the function an even root.

Answer 5

Okay! I kind of thought so. So, would this apply when looking for the variable a as well?/

Answer 6

"a" is just some scale factor....

Answer 7

Is it limited due to it being the single line going to -5?

Answer 8

it tells you how steep the graph is, basically.

Answer 9

If its the same graph as above but reflected over the x-axis going down, does that mean a would be less than zero then?

Answer 10

By "it is limited" I meant to say that the function doesn't go anywhere to the left of x=-5 (or anywhere below y=2)...

Answer 11

No, your graph is going up that means a>0

Answer 12

oh okay! I see now. And if the graph does down does that mean a<0?

Answer 13

You seriously made me feel btter. Ive been on this for 3 hours lol

Answer 14

Yes, in this case.

Answer 15

and it would be less cause its decreasing, basically?

Answer 16

The function is increasing, but its slope does decrease, though.

Answer 17

Finally, in the same equation, is the variable c the constant?

Answer 18

Yes, just some vertical shift.

Answer 19

but your slope is positive that means the function is increasing
(Even though the value of the slope becomes smaller, the function tho goes up)

Answer 20

This is the second graph where I am refering to c. I thought it was greater than 0 but noy too sure

Answer 21

The function is vertically shifted above the x-axis, so c>0

Answer 22

not* sorry only can type with one hand.

Answer 23

What sport do you play?

Answer 24

Horse back riding, I was actually just in a really bad accident a week and half ago, shattered my nose completely and dislocated my right elbow. I went face first into a pipe gate. Went right over the head of the horse.

Answer 25

I used to ride a horse when I lived in Russia, I almost learned everything except for jumping over obsticles at the age of 11, but then we moved to US where it is more than 150$ per hour, so I stopped:)

I love that sport ! GOod luck with it, hope you feel better.

Answer 26

Its VERY expensive. Thanks for your help !:) And thank you :)

Answer 27

No probs