Question

Which statement is true regarding the functions on the graph?

f(–3) = g(–4)
f(–4) = g(–3)
f(–3) = g(–3)
f(–4) = g(–4)

Answer 1

f(-3)=g(-3)=-4 True

Explanation:

We are given a graph of f(x) and g(x) on same coordinate plane.

We need to choose the option true.

Option 1: f(-3) = g(-4)

We will see the value of f(-3) and g(-4) from graph.

f(-3)=-4

g(-4)=-2.5

`f(-3)\\eq g(-4)`

Thus, False statement

Option 2: f(-4) = g(-3)

We will see the value of f(-4) and g(-3) from graph.

f(-4)=-6

g(-3)=-4

`f(-4)\\eq g(-3)`

Thus, False statement

Option 3: f(-3) = g(-3)

We will see the value of f(-3) and g(-3) from graph.

f(-3)=-4

g(-3)=-4

`f(-3)= g(-3)`

Thus, True statement

Option 4: f(-4) = g(-4)

We will see the value of f(-4) and g(-4) from graph.

f(-4)=-6

g(-4)=-2.5

`f(-4)\\eq g(-4)`

Thus, False statement

Hence, f(-3)=g(-3)=-4 True