8.F.3NAME: ______
GRAPHING LINEAR, QUADRATIC, CUBIC AND ABSOLUTE VALUE FUNCTIONS
INTERACTIVE NOTES
Not all equations in two variables are linear equations, thus, not all graphs of equations in two variables are lines.
1.)Make a table of values and graph: y = 2x
x / y-5
-4
-3
-2
-1
0
1
2
3
4
5
Look at the function: y = 2x
What kind of function is it?
LinearQuadraticCubicAbsolute Value
How can you tell by looking at the function?______
______
What is the shape of the graph?
CubicV-ShapeLineParabola
What type of function is this graph?LinearorNonlinear
2.) Make a table of values and graph: y = x2
x / y-5
-4
-3
-2
-1
0
1
2
3
4
5
Look at the function: y = x2
What kind of function is it?
LinearQuadraticCubicAbsolute Value
How can you tell by looking at the function?______
______
What is the shape of the graph?
CubicV-ShapeLineParabola
What type of function is this graph?LinearorNonlinear
3.) Make a table of values and graph: y = x3
x / y-5
-4
-3
-2
-1
0
1
2
3
4
5
Look at the function: y = x3
What kind of function is it?
LinearQuadraticCubicAbsolute Value
How can you tell by looking at the function?______
______
What is the shape of the graph?
CubicV-ShapeLineParabola
What type of function is this graph?LinearorNonlinear
4.) Make a table of values and graph: y = - x + 1
x / y-5
-4
-3
-2
-1
0
1
2
3
4
5
Look at the function: y = - x + 1
What kind of function is it?
LinearQuadraticCubicAbsolute Value
How can you tell by looking at the function?______
______
What is the shape of the graph?
CubicV-ShapeLineParabola
What type of function is this graph?LinearorNonlinear
5.) Make a table of values and graph: y = |x|
x / y-5
-4
-3
-2
-1
0
1
2
3
4
5
Look at the function: y = |x|
What kind of function is it?
LinearQuadraticCubicAbsolute Value
How can you tell by looking at the function?______
______
What is the shape of the graph?
CubicV-ShapeLineParabola
What type of function is this graph?LinearorNonlinear
6.) Make a table of values and graph: y = x2 - 3
x / y-5
-4
-3
-2
-1
0
1
2
3
4
5
Look at the function: y = x2 - 3
What kind of function is it?
LinearQuadraticCubicAbsolute Value
How can you tell by looking at the function?______
______
What is the shape of the graph?
CubicV-ShapeLineParabola
What type of function is this graph?LinearorNonlinear
7.) Make a table of values and graph: y = x3 + 2
x / y-5
-4
-3
-2
-1
0
1
2
3
4
5
Look at the function: y = x3 + 2
What kind of function is it?
LinearQuadraticCubicAbsolute Value
How can you tell by looking at the function?______
______
What is the shape of the graph?
CubicV-ShapeLineParabola
What type of function is this graph?LinearorNonlinear
8.) Make a table of values and graph: y = |x| + 4
x / y-5
-4
-3
-2
-1
0
1
2
3
4
5
Look at the function: y = |x| + 4
What kind of function is it?
LinearQuadraticCubicAbsolute Value
How can you tell by looking at the function?______
______
What is the shape of the graph?
CubicV-ShapeLineParabola
What type of function is this graph?LinearorNonlinear
Determine whether each equation is linear or nonlinear and tell the basic shape of the graph (line, parabola, cubic, V-shaped).
Equation / Linear or Nonlinear / Shape (Line, Parabola, Cubic, or V-Shaped)y - x = 8
y = 6x
y = x2 + 3
y = 6x - 5
y = - |x| + 2
y = 3x2
y = - 4x + 2
y = - |x|
y = x3
x + y = 3
y = 4 - x
y = 2x2 - 5
y = - 8x + 6
y = | x - 3|
y = 7x2
2x - y = 5
y = - | x - 1|
y = x3 - 2
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