Which statement is true regarding the graphed functions?

A

Step-by-step explanation:

The graphs of two functions y=f(x) and y=g(x) intersect at one point. The coordinates of this point are (0,-2). This means

f(0)=-2

g(0)=-2

Thus,

f(0)=g(0)

Note that the blue line passes through the point (-2,4), so

f(-2)=4

and the red line passes through the point (-2,-4), so

g(-2)=-4

Hence,

f(-2)≠g(-2)

and f(0)≠g(-2)

First Option

Step-by-step explanation:

It can be seen in the graph that the two plotted functions are linear, which means that if the lines are not parallel or not lying on each other, then the lines will intersect at most one point in the plane. It can be clearly seen that both the lines intersect at the point (0,-2). As far as the functions are concerned, there is an input and an associated output. The term f(0) means that 0 is the input and f(0) is the functional value, which is the output. In the graph, both lines have the y-intercept of -2. Y-intercept is the point where the value of the input (i.e. the value of x) is 0. Since both lines are intersecting at (0,-2), this implies that f(0) = g(0). This essentially means that the the functional value of f, which is -2, is equal to the functional value of g!!!

x = 3 ± √(5+y)