Functions

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Functions

1. Algebraically

1.1. Domain and Range

1.1.1. Interval Notation

1.3. Continuity

1.3.1. Continuity Test

1.3.2. Discontinuity

1.3.2.1. Removable

1.3.2.2. Infinite

1.3.2.3. Jump

1.4. End Behavior

1.4.1. Limit Notation

1.5. Limits

1.5.1. Limit Notation

1.8. Average Rate of Change

1.8.1. Rise over run

1.11. Inverses

1.11.1. Horizontal Line Test

1.11.2. f(g(x)) = x and g(f(x)) = x

2. Graphically

2.1. Domain and Range

2.1.1. Interval Notation

2.3. Continuity

2.3.1. Continuity Test

2.3.2. Discontinuity

2.3.2.1. Removable

2.3.2.2. Infinite

2.3.2.3. Jump

2.4. End Behavior

2.4.1. Limit Notation

2.5. Extremas

2.5.1. Absolute and Relative

2.8. Average Rate of Change

2.8.1. Rise over run

2.11. Inverses

2.11.1. Horizontal Line Test

2.11.2. f(g(x)) = x and g(f(x)) = x

2.12.1. Equation

2.12.2. Function

2.13. Intervals

2.13.1. Increasing

2.13.2. Decreasing

2.13.3. Constant

2.14. Parent Functions

2.14.1. Identity Function: f(x) = c

2.14.2. Constant Function: f(x) = x

2.14.3. Square Function: f(x) = x^2

2.14.4. Cube Function: f(x) = x^3

2.14.5. Square Root Function: f(x) = √x

2.14.6. Reciprocal Function: f(x) = 1/x

3. Numerically

3.1. Domain and Range

3.1.1. Interval Notation

3.3. Continuity

3.3.1. Continuity Test

3.3.2. Discontinuity

3.3.2.1. Removable

3.3.2.2. Infinite

3.3.2.3. Jump

3.4. End Behavior

3.4.1. Limit Notation

3.5. Limits

3.5.1. Limit Notation

3.6.1. Equation

3.6.2. Function