The values of a and b are 4 and -3
To solve for a, we make use of the function f(x).
x f(x)
2 4
0 5
2 a
3 7
Remove the x values 0 and 3
x f(x)
2 4
2 a
The above table implies that:
f(2) = 4 and f(2) = a
Substitute 4 for f(2) in f(2) = a
4 = a
Rewrite as:
a = 4
To solve for b, we make use of the function g(x).
x g(x)
2 b
0 0
2 -3
3 -4
Remove the x values 0 and 3
x g(x)
2 b
2 -3
The above table implies that:
f(2) = b and f(2) = -3
Substitute -3 for f(2) in f(2) = b
-3 = b
Rewrite as:
b = -3
Hence, the values of a and b are 4 and -3
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Complete question
Use the Symmetry of a Function to Find Coordinates
f is an even function g is an odd function
x f(x) x g(x)
2 4 2 b
0 5 0 0
2 a 2 -3
3 7 3 -4
Find a and b
