Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

Question

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3Compare the functions f(x) and g(x) from the table. When is f(x) greater than g(x)?

x f(x) g(x)
-2 -1 3
-1 3/4 3/4
0 1 0
1 1 1/4 3/4
2 3 3

Responses

-2 < x < -1

-1 > x > 2

-2 < x < 2

-1 < x < 2

Answer 1

To determine when \( f(x) \) is greater than \( g(x) \) based on the given table of values:

| x | f(x) | g(x) | |------|--------|--------| | -2 | -1 | 3 | | -1 | 3/4 | 3/4 | | 0 | 1 | 0 | | 1 | 1 1/4 | 3/4 | | 2 | 3 | 3 |

Now, let's evaluate where \( f(x) > g(x) \):

1. For \( x = -2 \):

   • \( f(-2) = -1 \) and \( g(-2) = 3 \): \( -1 < 3 \) (not greater)

2. For \( x = -1 \):

   • \( f(-1) = 3/4 \) and \( g(-1) = 3/4 \): \( 3/4 = 3/4 \) (not greater)

3. For \( x = 0 \):

   • \( f(0) = 1 \) and \( g(0) = 0 \): \( 1 > 0 \) (greater)

4. For \( x = 1 \):

   • \( f(1) = 1 1/4 \) and \( g(1) = 3/4 \): \( 1 1/4 > 3/4 \) (greater)

5. For \( x = 2 \):

   • \( f(2) = 3 \) and \( g(2) = 3 \): \( 3 = 3 \) (not greater)

Summary:

From the evaluations:

• \( f(x) > g(x) \) at \( x = 0 \) and \( x = 1 \).

Thus, we can conclude that \( f(x) \) is greater than \( g(x) \) specifically for the range where \( 0 \leq x < 2 \).

Final Conclusion

The correct range where \( f(x) > g(x) \) in this case is:

0 < x < 2.