Question

Which statement is true regarding the graphed functions?

f(0) = g(0)
f(–2) = g(–2)
f(0) = g(–2)
f(–2) = g(0)

Answer 1

`f(0) = g(0)`

Explanation:

From the graph,
`f(x)` and
`g(x)` are two linear function or straight line.

They intersect at
`(0,-2)`.

So point
`(0,-2)` is the solution to the system of linear equations.

Solution or point of intersection must satisfies the equations.

In both the case,

`f(0)=-2` and
`g(0)=-2`

Therefore, option 1 is the correct answer.

Answer 2

Answer: option first, f(0)=g(0) is true statement.

Explanation:

Since, According to the given graph, for the given function f(x), values of f(0)=-2 and f(-2)=4

While, for the given function g(x), values of g(0)=-2 and g(-2)=-4

So, we can say that f(0)=g(0)=-2

But, f(-2)≠g(-2), f(0)≠f(-2) and f(-2)≠g(0)

Thus, f(0)=g(0) is true.