Question

Graphing Cube Roots.
Does anyone know how to solve them?

Answer 1

Whats your question?

Answer 2

@FaiqRaees

Answer 3

@math&ing001

Answer 4

You can see that x=-5 represents a turning point in the plot so the it's gonna be based on sqrt3(x+5). Now after we narrowed it down to option A and B, from the orientation of the graph we can guess it's option B.

Answer 5

Alrighty, I kind of understand... I have 7 more similar questions. could you help with those as well please please please? lol

Answer 6

Ok sure but you have to try too

Answer 7

of course

Answer 8

ok then =]

Answer 9

I can see that the graph is negative, because it swirls downward.

Answer 10

x-intercept is (4,0) narrowing it down to A or C....
correct?

Answer 11

I am thinking A

Answer 12

I am assuming that the inflection point is the slightly more bold line marking (3,1)

Answer 13

YES and for turning point you always look inside the root and put it to zero (here 3-x)
And why rush into a maybe answer, while we can be absolutely sure it's correct ;]

Answer 14

Therefore the Answer is in fact A!

Answer 15

Yep !

Answer 16

Perfect!

Answer 17

Can you guess ?
Hint : cubic root, unlike square root can take negative values ;]

Answer 18

Ummm... This one is a little more tricky to me...
A or B... Not quite sure on this question

Answer 19

Well like I said cubic root can take all values, so there is no condition on x i.e. x is all real numbers

Answer 20

A?

Answer 21

Not quite, y too can be all real numbers.

Answer 22

Lol C

Answer 23

Yeah this one was difficult for me..

Answer 24

You get the domain from the x-axis and the range from the y-axis.

Answer 25

D

Answer 26

Yep !

Answer 27

Another one of those tricky ones.... lol

Answer 28

Well you have to learn how to get the range =]
Here's a hint : ALWAYS look for constrains on x.
Example: here the square root only takes positive value (the term inside the square root must be >0)

Answer 29

Would the constrains be +2 and +5

Answer 30

Im thinking that it is C based on the last one like this... completely unsure though

Answer 31

Not really, what's inside the square root must be >0 meaning x+2>0

Answer 32

Because the last one, the X had two real numbers next to it, and so does this one, however the number outside of the sqrt sign is different making the second part of the answer different... lol i could be completely wrong though

Answer 33

D... because X is > or = 2

Answer 34

A would mean that x> or = -2 making the statement

x+2>0 true if x was -2

Answer 35

But those are totally different roots √ is different from 3√
3√ can take all values inside while √ can only have positive values inside.

Answer 36

Yes that's correct !

Answer 37

A is correct?

okay then lol it took me a couple tries but i finally thought something out correctly, i dont like these types of problems.

Answer 38

\[x+2\ge0 <=> x \ge-2\] yes A is correct =]

Answer 39

There arent any more of them, thankfully. Okay, i got it now! :)

Answer 40

Well, the
x-axis is (-1,-2)
y-axis is -6

Answer 41

You can guess the function from the range and domain ;]

Answer 42

B.... they both consist of a -1 and a -2

Answer 43

Here x>= -1 means x+1 inside the root.
y<=-2 means option C
I gtg cya =3

Answer 44

Aww only 2more left... thanks anyhow

Answer 45

So this one is C?

Answer 46

Because the sign changes when inside the root?