Q. 19 - Algebra 2

Question

State whether each equation or function is linear. Write yes or no. If
 no, explain your reasoning.

$h\left(x\right)=\sqrt{2x+1}$

Step-by-Step Solution

Answer

Yes, the equation is linear. The highest degree is $1$.

Step 1. Defining the linear equation

By definition, we have that a linear equation is of the form $y=mx+b$ or which has highest degree as 1.

Step 2. Simplifying the given equation

We have:

$h\left(x\right)=\sqrt{2x+1}$

As, in $2x+1$:

The highest degree is 1.

Step 3. Determining the final equation

The given equation is a linear equation, as the highest degree is $1$.