Question

Two functions are graphed on the coordinate plane.

Which represents where f(x) = g(x)?
10
ger
8
f(4) = g(4) and f(0) = g(0)
f(-4) = g(4) and f(0) = g(0)
f(4) = 9(-2) and f(4) = g(4)
f(0) = g(4) and f(4) = g(-2)
6
to 54 -3 -2 -12
1 2 3 4 5 6 X
o)
-8
-124

Answer 1

f(4) = g(4) and f(0) = g(0)

Explanation:

In order for f(x) = g(x), the value of x must be the same in both functions:

f(4) = g(4) . . . corresponds to x=4

f(0) = g(0) . . . corresponds to x=0

The graph is not shown here, so we cannot say if these are the appropriate solutions. We can only say that the other choices are not.

f(x) = g(x) if ...

f(4) = g(4) and f(0) = g(0)

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Something like f(0) = g(4) is useless for finding solutions to f(x) = g(x).