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How to plot One linear, one quadratic graph.

How to plot One linear, one quadratic graph


Question:
(a) Draw the graph of  https://tellmath.blogspot.com/2021/01/logarithm.htmlfor values of x from -4 to 2

(b) Use the graph to solve the equations
https://tellmath.blogspot.com/2021/01/logarithm.html
                   
  ( c) By drawing the line  y = 2x + 1 on the same axes, solve the equation       
https://tellmath.blogspot.com/2021/01/logarithm.html

         
     

Solution

First find the values of y for every value of x. I will only calculate for few values of x to get their corresponding values of y. This part is very important and care need to be taken because any wrong value got will render all your effort useless. The calculation is simple substitution of the given values of x to the equation.  Just that, see below
https://tellmath.blogspot.com/2021/01/logarithm.html

 Below is the table of the calculation 
https://tellmath.blogspot.com/2021/01/logarithm.html
Calculate also for the line graph to get the table below. Same method of substitution.
https://tellmath.blogspot.com/2021/01/logarithm.html
Plot the graph as shown below
https://tellmath.blogspot.com/2021/01/logarithm.html

Follow the steps below the needed values from the graph

https://tellmath.blogspot.com/2021/01/logarithm.html

















 

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