Homework Help

graph the function and state the domain and range and show how you get the points....

user profile pic

r4rob92 | (Level 1) Valedictorian

Posted January 19, 2012 at 6:32 PM via web

dislike 0 like
graph the function and state the domain and range and show how you get the points. y=-3times the cube root of x+4

1 Answer | Add Yours

user profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted January 19, 2012 at 7:26 PM (Answer #1)

dislike 0 like

You need to find the domain and the range of the function y = -3 root(3)(x+4).

Since every real number has a cube root that is unique, hence any real value of x works such that the domain of the function y = -3 root(3)(x+4) is the real set R.

Since the domain is R, hence the range of this function is also R.

Sketching the graph of the function yields:

You may find the points this curve passing plugging x real values in y = -3root(3)(4+4)

Hence, if x = 4 => y = -3root(3)(8) => y = -6

If x = -12=> y=-3root(3)(-12+4) = -3root(3)(-8) = 6

You may verify the values above on the curve such that: You need to pick x=4 on x axis and you need to rise from x=4 a orthogonal line that intersect the curve at a point. You need to draw an orthogonal projection to y axis and you will see that they will intersect at y = -6.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes