Using the table below, for what x-values is f(x) > g(x)?

Question

x f(x) g(x)
-2

7 -10
-1 4 -3
0 3 -2
1 4 -1
2 7 6
3 12 25
4 19 62


(1 point)
Responses

{7,4,3}
start set 7 comma 4 comma 3 end set

{−10,−3,−2,−1,6}
start set negative 10 comma negative 3 comma negative 2 comma negative 1 comma 6 end set

{−2,−1,0,1,2}
start set negative 2 comma negative 1 comma 0 comma 1 comma 2 end set

{12,19}

Answer 1

To determine the x-values for which $f(x)>g(x)$, we need to compare the values of $f(x)$ and $g(x)$ for each x-value in the provided table.

Here's the provided data summarized for reference:

$$\text{Misplaced hline}$$

Now, let's compare $f(x)$ and $g(x)$:

1. For $x=-2$: $f(-2)=7$ and $g(-2)=-10$ → $f(-2)>g(-2)$
2. For $x=-1$: $f(-1)=4$ and $g(-1)=-3$ → $f(-1)>g(-1)$
3. For $x=0$: $f(0)=3$ and $g(0)=-2$ → $f(0)>g(0)$
4. For $x=1$: $f(1)=4$ and $g(1)=-1$ → $f(1)>g(1)$
5. For $x=2$: $f(2)=7$ and $g(2)=6$ → $f(2)>g(2)$
6. For $x=3$: $f(3)=12$ and $g(3)=25$ → $f(3)<g(3)$ (not included)
7. For $x=4$: $f(4)=19$ and $g(4)=62$ → $f(4)<g(4)$ (not included)

From this comparison, we see that $f(x)>g(x)$ for the x-values: $-2,-1,0,1,2$.

Therefore, the answer is: $$\text{{}-2,-1,0,1,2\text{}}$$