YOUR ACTIVITY!
Graph of the following functions using Geogebra.
1. y = 2x3 – 7x2 – 7x + 122. y = –x5 + 5x3 – 4x 3. y = x4 – 7x2 + 6x4. y = – x4 + 2x3 + 13x2 – 14x – 24
y =
• Is the leading coefficient a positive or a negative number?
• Is the polynomial of even degree or odd degree?
y = (2x+3)()()
Positive Leading Coefficient
Odd Degree
y =
• How many turning points do the graph has?
• Observe the end behaviors of the graph on both sides. Is it rising or falling to the left or to the right?
y = (2x+3)()()
Two(2) turning points
The graph is falling to the left and rising to the right.
• Is the leading coefficient a positive or a negative number?
• Is the polynomial of even degree or odd degree?
Negative Leading Coefficient
Odd Degree
y=
y =
• How many turning points do the graph has?
• Observe the end behaviors of the graph on both sides. Is it rising or falling to the left or to the right?
Four(4) turning points
The graph is rising to the left and falling to the right
y=
y =
• Is the leading coefficient a positive or a negative number?
• Is the polynomial of even degree or odd degree?
Positive Leading Coefficient
Even Degree
y = y = x(x+3)()()
• How many turning points do the graph has?
• Observe the end behaviors of the graph on both sides. Is it rising or falling to the left or to the right?
Three(3) turning points
The graph is rising to the left and to the right
y = y = x(x+3)()()
• Is the leading coefficient a positive or a negative number?
• Is the polynomial of even degree or odd degree?
Negative Leading Coefficient
Even Degree
y = – 24 y =
• How many turning points do the graph has?
• Observe the end behaviors of the graph on both sides. Is it rising or falling to the left or to the right?
Three(3) turning points
The graph is falling to the left and to the right
y = – 24 y =