Question

Enter the letter for the function graphed

below.
3
√x - 3
a) y =
b) y = ³√√x - 3
c)y = 3 = ³√√x
3
d) y = ³√√x +3
e) y = √√x +3

Answer 1

a)

Explanation:

we only need to look at the point, where y = 0.

that is clearly at x = 3.

which function gives y = 0 as result, when x = 3 ?

only a)

y =

`\sqrt[3]{3 - 3}`

the cubic root of 0 is 0.

as 3 is not equal to the cubic root of 3, b), c) and e) are out.

and d) is

`y = \sqrt[3]{3 + 3}`

the cubic root of 6 is NOT 0.

so, only a) is the only right answer.