Question

The function below shows the relationship between the length of each side of a cube (y) and the volume of the cube (x+3):

y equals cube root of x plus 3

Answer 1

@precal @SolomonZelman

Answer 2

Hold on theres graphs

Answer 3

@SolomonZelman @precal @jdoe0001 I dont understand

Answer 4

Like \(\normalsize\color{blue}{ y=x^3+3 }\) or \(\normalsize\color{blue}{ y=(x+3)^3 }\) ??

Answer 5

no

Answer 6

hold on ill show

Answer 7

a quick screenshot of the material would be good

Answer 8

oh yeah...

Answer 9

\[y=^{3}\sqrt{x+3}\]

Answer 10

The graph should cross the y axis between 1 and 2 because the cube root of 3 is in that range

Answer 11

\(\large \bf y=\sqrt[3]{x+3}?\)

Answer 12

yes @jdoe0001

Answer 13

I think it is asking you for a function shift, Considering \(\normalsize\color{blue}{ y=\sqrt[3]{x} }\)
When you say \(\normalsize\color{blue}{ y=\sqrt[3]{x\color{red}{ +v} } }\) you are shifting it v units left.

Answer 14

and one more important tip would be checking where it passes a y value of 2. The corresponding x value is 5

Answer 15

k

Answer 16

graph \(\normalsize\color{blue}{ y=\sqrt[3]{x} }\) and shift it \(\normalsize\color{black}{ 3 }\) units left.

Answer 17

choose a graph that meets the above criteria

Answer 18

ok which one?

Answer 19

the second one

Answer 20

well... first off you'd need to graph or know what \(\Large y=\sqrt[3]{x}\) looks like

Answer 21

yes

Answer 22

YAY

Answer 23

well... so.. grab a few points.. say 5 points
pick 5 random "x" to get the "y"

Answer 24

THANK YOU @SolomonZelman @jdoe0001 @precal

Answer 25

yw

Answer 26

Yes. GOod that you want to learn, because otherwise you would have done this,

https://www.desmos.com/calculator/psvtpyxt3o