Question

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

Answer 1

Answer:

X=3

Step-by-step 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.

Answer 2

The input value is $\boxed{x = 3}.$ Option (d) is correct.

Further explanation:

The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.

Given:

The options are as follows,

(a). $x = - 3$

(b). $x = -1$

(c). $x = 1$

(d). $x = 3$

Explanation:

The functions are $f\left( x \right){\text{ and }}g\left( x \right).$

It has been observed from the graph that the line of the functions $f\left( x \right){\text{ and }}g\left( x \right)$ intersects each other at $x = 3.$

The input value is $\boxed{x = 3}$. Option (d) is correct.

Option (a) is not correct.

Option (b) is not correct.

Option (d) is not correct.

Option (d) is correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Relation and Function

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.