Systems of Non-linear Equations

System Notice we are back to equations When we did linear equations, they had how many solutions? These may have one, two or none.

Notice we are back to equations

When we did linear equations, they had how many solutions?

These may have one, two or none.

Types of equations you’ll see Linear y = # x = # y = mx + b What is it’s shape?

Linear

y = #

x = #

y = mx + b

What is it’s shape?

Types of equations you’ll see Absolute Value y = │x │ y = a │x │ y = a │x + b│ y = a │x + b│+ c There are more … What is it’s shape?

Absolute Value

y = │x │

y = a │x │

y = a │x + b│

y = a │x + b│+ c

There are more …

What is it’s shape?

Types of equations you’ll see Quadratic y = x^2 y = a x^2 y = a x^2 + c y = a x^2 + bx+ c There are more … What is it’s shape?

Quadratic

y = x^2

y = a x^2

y = a x^2 + c

y = a x^2 + bx+ c

There are more …

What is it’s shape?

Types of equations you’ll see What will make the Absolute Value or Quadratic graphs go down? What will make them skinny? What will make them fat?

What will make the Absolute Value or Quadratic graphs go down?

What will make them skinny?

What will make them fat?

How to work You may have to put two in slope intercept form to graph them. On your calculator, don’t forget to make sure you see all the intersects.

You may have to put two in slope intercept form to graph them.

On your calculator, don’t forget to make sure you see all the intersects.

How to work On your calculator, you need to make sure that you are near the intersection you are trying to find. You have to 2 nd /Trace the same number of times that you have intersections. If you have 2 intersections, you have to 2 nd /Trace for each.

On your calculator, you need to make sure that you are near the intersection you are trying to find.

You have to 2 nd /Trace the same number of times that you have intersections.

If you have 2 intersections, you have to 2 nd /Trace for each.

Example y= │x │ y= 5

y= │x │

y= 5

Example y= │2x │ y= x^2

y= │2x │

y= x^2

Example y= -3x + 2 y= -x^2

y= -3x + 2

y= -x^2

Example y= x - 3 y= │2x │+1

y= x - 3

y= │2x │+1