Constant Functions
\[y = c\]
- Domain
-
\((-\infty,\infty)\)
- Range
-
\(C\) (constant)
Linear Functions
\[y = x\]
- Domain
-
\((-\infty,\infty)\)
- Range
-
\((-\infty,\infty)\)
Quadradic Functions
\[y = x^2\]
- Domain
-
\((-\infty,\infty)\)
- Range
-
\([0,\infty)\)
Cubic Functions
\[y = x^3\]
- Domain
-
\((-\infty,\infty)\)
- Range
-
\((-\infty,\infty)\)
Absolute Value Functions
\[y = |x|\]
- Domain
-
\((-\infty,\infty)\)
- Range
-
\([0,\infty)\)
Radical Functions
Square Root
\[y = \sqrt{x}\]
- Domain
-
\((0,\infty)\)
- Range
-
\([0,\infty)\)
Cubed Root
\[y = \sqrt[3]{x}\]
- Domain
-
\((-\infty,\infty)\)
- Range
-
\((-\infty),\infty)\)
Exponential Functions
\[y = b^x\]
- Horizontal Asymbtote
-
0
- Domain
-
\((\infty,\infty)\)
- Range
-
\((0,\infty)\)
Logoritmic Functions
\[y = log_{b} x\]
- Vertical Asymbtote
-
0
- Domain
-
\((0,\infty)\)
- Range
-
\((-\infty,\infty)\)
Reciprocal Functions
\[y = \frac{1}{x}\]
- Vertical Asymptote
-
0
- Domain
-
\((-\infty, 0) \cup (0, \infty)\)
- Range
-
\((-\infty, 0) \cup (0, \infty)\)