Q. 56 - Precalculus Enhanced with Graphing Utilities

Question

Explain how the graph of $f\left(x\right)=mx+b$ can be used to solve $mx+b>0$

Step-by-Step Solution

Answer

In the graph of $f\left(x\right)=mx+b$, all positive y values of the graph of the function will represent $mx+b>0$.

Step 1. Given information

Given function is

$mx+b>0$

Step 2. Explanation

If the graph of $f\left(x\right)=mx+b$,$mx+b$ represent the $y$ value of the function

So inequality $mx+b>0$ is

$$\begin{gathered} mx+b>0 \\ f\left(x\right)>0 \\ y>0 \end{gathered}$$

So in the graph of $f\left(x\right)=mx+b$,all positive $y$ coordinates of points of the graph will represent $mx+b>0$