Sketches Of Some Important Graphs

The following are sketches of the graphs of the functions in the form
ax + by = c
y = ax² + bx + c
y = ax³ + b
y = ax³ + bx² + cx
y = a/x + b
y = ar^x + b
where a, b and c are rational numbers and r is a rational, positive number.
Take note of the x-intercept(s), y-intercept(s), turning points, roots, symmetry, vertical and horizontal asymptotes.

 

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 = log_b(x), where b > 1
9. y = a^x

• Show Step-by-step Solutions

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
5. f(x) = absolute value of x

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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