Question

Which of the following graphs could be the graph of the function f(x) = x3 + 8?

Answer 1

It seems you missed to upload graphs given with the question. So i will draw the graph myself then explain the answer.

f(x)=x^3+8 is the given function which is created from parent function f(x)=x^3

Graph of x^3 is like graph of any odd degree function which starts from bottom and goes to top because of positive leading coefficient.

then there is +8 which means parent function is shifted 8 units upward.

You may directly plug some numbers to find points on f(x)=x^3+8 then join those points to get the graph easily.

like we can use numbers x=-2,-1,0,1,2,...

I will show you calculation for x=-2

f(-2)=(-2)^3+8=(-2)(-2)(-2)+8=-8+8=0

Hence first point is (-2,0)

Similarly you can find more points then use them to find the final graph as shown in attached picture.

Answer 2

Graph: A on EDGE.

Crosses Y-Axis at (0,8)