Question

-2

-1

3

-1





0

1

0

1





2

3

3


Use the table to compare the functions and . When is greater than ?

(2 points)
In the table above, f(x)
is greater than g(x)
when
< x <


Select the option that matches the graph above.

(1 point)

f(x)=2x−−√

f(x)=2x−−√3

f(x)=x3

Answer 1

I can’t read the table/graph reliably from the text you pasted — the numbers got split up. Could you either

- paste the table as rows like “x | f(x) | g(x)” (one row per line), or
- attach or re-upload the image of the table/graph?

While you do that, here’s how to finish each part once I have the correct numbers:

1) To find where f(x) > g(x):
- For each x in the table compare the two values.
- List the x-values (or the interval between consecutive x-values) for which f(x) is larger than g(x).
- If the table gives values at discrete x only, answer with the x-values (or say “for x = …”); if the table represents values at endpoints of intervals, give the interval(s).

2) To pick the matching formula:
- f(x)=√(2x) (domain x ≥ 0): graph starts at x=0, increases slowly, always nonnegative.
- f(x)=√(2x−3) (domain x ≥ 3/2): graph starts at x=1.5, increases, always nonnegative.
- f(x)=x^3: odd function, goes through the origin, negative for x<0 and positive for x>0, steep growth.

If you repost the table (or the graph) I’ll give the exact interval and choose the correct option.