Question

Which input value produces the same output value for the two functions on the graph?

X= -3
X= -1
X= 1
X= 3

Answer 1

The correct option is 4.

Explanation:

If the graph of a function represent in coordinate plane, then x-axis represents the domain of the function and y-axis represents the range of the function.

We have to find the input value that produces the same output value for the two functions on the graph.

From the given graph it is clear that the intersection point of both functions is at (3,-1).

At x=3 the output value of f(x) is -1.

At x=3 the output value of g(x) is -1.

It means both functions have same output -1 at x=3.

Therefore the correct option is 4.

Answer 2

X=3

Explanation:

We have two linear functions which intersect at a point. Linear functions are lines which are made of points that satisfy the function or relationship. This means at the intersection, this point (3,-1), both functions have values. An input of x=3 produces y=-1 in both functions.