Determine the intersection of two functions for linear functions

This is how you determine the point of intersection with a drawing

1. Draw a coordinate system with the division of the axes Functions is adapted. For functions such as f (x) = 300x + 1200, it makes little sense to choose the division 1 cm = one unit. The division 1 cm corresponds to 200 or 300 would be much more effective.
2. Draw the two graphs of two functions in one coordinate system. In case you are unsure how to go about drawing, there is one instructions.
3. Now you can easily read off the intersection of the linear functions. In most cases, however, the intersection of two functions cannot be read off precisely. Here it is advisable to determine the point of intersection with an invoice.

How to calculate the intersection of two functions

1. Put the two Straight lines same. If the lines are of the form f
   instagram viewer
   ₁(x) = 2x + 2 and f₂(x) = -1x + 8 is the condition for the intersection of two functions f₁(x) = f₂(x) and thus 2x + 2 = -1x + 8.
2. Solve the equation for x by adding and or or subtract all Counting bring with x to one side of the equation. Then you should transfer the numbers without x by adding or subtracting them to the other side. So in the example above, you'd have to subtract 2 on either side to get 2x = -1x + 6. Now add 1x and get 3x = 6.


Properties of linear functions briefly explained

The special properties of linear functions are easy to explain. She …

3. Divide both sides of the equation by the factor that precedes x. This gives you the x-value of the intersection. In this example you would have to divide by 3. This gives x = 2.
4. Now you need to put the calculated x-value in f₁(x) or f₂Insert (x) in order to be able to calculate the corresponding y-value. In the example it would look like this: f₁(2) = 2 * 2 + 2 and thus f₁(2) = 6.
5. The point of intersection is formed by the x-value and y-value. The example mentioned has the intersection point S (2/6).