which input value produces the same output value for the two functions on the graph?\n$x = - 1$\n$x = 0$\n$x…

which input value produces the same output value for the two functions on the graph?\n$x = - 1$\n$x = 0$\n$x = 1$\n$x = 2$

which input value produces the same output value for the two functions on the graph?\n$x = - 1$\n$x = 0$\n$x = 1$\n$x = 2$

Answer

Answer:

(x = 1)

Explanation:

Step1: Understand the meaning of the same output value

The same output value for two functions means the (y -)values of the two functions are equal. In the graph of two functions (y = f(x)) and (y = g(x)), this occurs at the (x -)coordinate of the intersection point of the two graphs.

Step2: Locate the intersection point

Looking at the graph of (y = f(x)) (red line) and (y = g(x)) (blue line), we can see that the two lines intersect at the point ((1,1)). At this point, when (x = 1), (f(1)=g(1) = 1). For (x=-1), (f(-1)=3) and (g(-1)=-2); for (x = 0), (f(0)=2) and (g(0)=-1); for (x=2), (f(2)=0) and (g(2)=3).