Graphing functions of f and g

Question

Graph the given functions, f, and g, in the same rectangular coordinate system. Select integers for x, starting with 2, and describe how the graph of g is related to the graph of f.

f(x) = x³, g(x) = x³+7.

complete the ordered pairs in the table below for f(x) = x³.

x (x,          f(x))

-2             ?

-1             ?

0             ?

1              ?

2             ?

(Simplify your answers. Type ordered pairs

Answer 1

To complete the table for your function f(x), you need to use each of the given x values as an input in the f(x) function which takes an x value and cubes it. So for example, if I was given the x-value 5, I would calculate 5³ = 5*5*5 = 125. This would be the value in the second column of the table. Once you have completed the table for f(x), you will need to make another table for the second function g(x). This function takes x-values and cubes them and then adds 7 to get a final value. Once you have both tables complete, you should graph your points and compare the two graphs. It is asking you to find how the second graph of the table of points for g(x) is different compared to the first graph of the table of points for f(x).