
How do you graph ?
Answer
468.3k+ views
Hint: We use the given equation and assume it as a new variable. Substitute the value of ‘x’ and calculate the corresponding value of ‘y’ from the equation. Similarly, we can substitute values for ‘y’ and calculate the corresponding values for ‘x’ using the equation.
Complete step by step solution:
We have equation
Let us assume the equation as a variable say ‘y’
Then … (1)
We can divide both sides of the equation (1) by -2
Take exponential function on both sides of the equation
… (2)
We will substitute the value of ‘y’ in the right hand side of equation (2) and calculate the corresponding value of ‘x’.
Put
Then
i.e.
Point becomes
Put
Then
i.e.
Point becomes
Now we plot the points and on the graph.
The graph of the equation can be made by plotting the points and and joining the line through these two points.
Note: Students are likely to make mistakes while shifting the values from one side of the equation to another side of the equation as they forget to change the sign of the value shifted. Keep in mind we always change the sign of the value from positive to negative and vice versa when shifting values from one side of the equation to another side of the equation. When plotting the points on the graph many students tend to mark wrong points due to the scale, keep in mind we can adjust the scale of the graph according to our need.
Alternate method:
Let us assume
Then we can write
Take exponential function on both sides
Then use the property of exponentials i.e.
Substitute the value of and use log property
Cancel exponent by log
When
So,
Point becomes
When
Then
i.e.
Point becomes
Now we plot the points and on the graph.
The graph of the equation can be made by plotting the points and and joining the line through these two points.
Complete step by step solution:
We have equation
Let us assume the equation as a variable say ‘y’
Then
We can divide both sides of the equation (1) by -2
Take exponential function on both sides of the equation
We will substitute the value of ‘y’ in the right hand side of equation (2) and calculate the corresponding value of ‘x’.
Put
Then
i.e.
Point becomes
Put
Then
i.e.
Point becomes
Now we plot the points

Note: Students are likely to make mistakes while shifting the values from one side of the equation to another side of the equation as they forget to change the sign of the value shifted. Keep in mind we always change the sign of the value from positive to negative and vice versa when shifting values from one side of the equation to another side of the equation. When plotting the points on the graph many students tend to mark wrong points due to the scale, keep in mind we can adjust the scale of the graph according to our need.
Alternate method:
Let us assume
Then we can write
Take exponential function on both sides
Then use the property of exponentials i.e.
Substitute the value of
Cancel exponent by log
When
So,
Point becomes
When
Then
i.e.
Point becomes
Now we plot the points

Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
What is the Full Form of ISI and RAW

Which of the following districts of Rajasthan borders class 9 social science CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

What is 85 of 500 class 9 maths CBSE
