Q1. - Algebra 2

Question

Chose the correct term to complete the sentence.

The Constant or identity function is a linear function described by $f\left(x\right)=x$

Step-by-Step Solution

Answer

The correct statement to complete the sentence is Identity.

Step-1 – Apply the concept of Constant function

A constant function is used to represent a quantity that stays constant over the course of time and it is considered to be the simplest of all types of real-valued functions. Constant functions are linear functions whose graphs are horizontal lines in the plane. The maximum marks which can be obtained in an examination can be taken as one of the real-life examples of constant functions.

Step-2– Apply the concept of identity function

The identity function is a linear polynomial function. It is defined as $g:R\to R$ such that $g\left(x\right)=x$ The domain is equal to the range for an identity function.

Step-3 – Chose the correct statement to complete the sentence

From two function its clear that the sentence which make sense is the Identity function 

Since, the definition state that

The identity function is a linear polynomial function. It is defined as $g:R\to R$ such that $g\left(x\right)=x$ The domain is equal to the range for an identity function.

Therefore, the correct statement to complete the sentence is Identity.