Question

Two functions are graphed on the coordinate plane which represents whete f (x) = g (x)

Answer 1

B

Explanation:

f(x) and g(x) intersect at (- 4, 4 ) and (0. 4 )

These are the points where f(x) = g(x), hence

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

Answer 2

The correct option is 2.

Explanation:

From the given graph it is clear that the graph of f(x) and g(x) intersect each other at (-4,4) and (0,4).

It means the value of both functions is same at x=-4 and x=0.

The value of function f(x) at x=-4.

`f(-4)=4`

The value of function g(x) at x=-4.

`g(-4)=4`

`f(-4)=g(-4)`

The value of function f(x) at x=0.

`f(0)=4`

The value of function g(x) at x=0.

`g(0)=4`

`f(0)=g(0)`

Since
`f(-4)=g(-4)` and
`f(0)=g(0)`, therefore the correct option is 2.