Question

Two functions are graphed on the coordinate plane.

Which represents where f(x) = g(x)?
10
8
Of(4) = g(4) and f(0) = g(0)
O f(-4) = g(-4) and f(0) = g(0)
O f(-4) = g(-2) and f(4) = g(4)
Of(0) = g(-4) and f(4) = g(-2)

Answer 1

Option B

Explanation:

We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -

Function f( x ) where x = - 4 / Function g( x ) where x = - 4,

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

Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,

`f( 0 ) = 4,\\g( 0 ) = 4\\----------\\f ( 0 ) = g ( 0 )`

Your solution should be option b, " f(-4) = g(-4) and f(0) = g(0) "