 # Sketches Of Some Important Graphs

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In this lesson, we will learn

• how to graph functions of the form y = axn + c
• how to sketch some basic or common graphs.

The following are sketches of the graphs of the functions in the form y = axn + c , where n = –2, –1, 1, 2 and 3.

Take note of their general shapes and positions in relation to the x-axis and y-axis.  These are some basic graphs that every algebra student should know.

1. y = mx + b (Linear Function)
2. y = x2 (parabola)
3. y = xn
4. y = absolute value of x
5. y = square root of x
6. y = 7. y = 8. y = logb(x), where b > 1
9. y = ax

This video shows the graphs for the following functions:

1. f(x) = x
2. f(x) = x2
3. f(x) = x3
4. f(x) = square root of x
5. f(x) = cube root of x
6. f(x) = absolute value of x

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