Algebra

Linear - Rule

f(x) = x

Domain: Linear, Quadratic,Cubic,Absolute,Exponential Cube Root

(-∞, ∞)

Range: Linear,Cubic,Cube Root

(-∞, ∞)

Linear, Cubic - Key Points

(-1, -1), (0, 0), (1, 1)

Quadratic - Rule

y=x2

Quadratic, Absolute Value - Range

[0, ∞)

Quadratic - Key Points

(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)

Cubic - Rule

f(x) = x³

Cubic - Key Points

(-2, -8), (-1, -1), (0, 0), (1, 1), (2, 8)

Square Root - Rule

f(x) = √x

Square Root , Exponential - Domain

(0, ∞)

Square Root, - Range

[0, ∞)

Square Root - Key Points

(0, 0), (1, 1), (4, 2), (9, 3)

Absolute Value - Rule

f(x) = |x|

Absolute Value - Domain

(-∞, ∞)

Absolute Value - Range

[0, ∞)

Absolute Value - Key Points

(-2, 2), (-1, 1), (0, 0), (1, 1), (2, 2)

Exponential - Rule

f(x) = 2^x

Exponential - Domain

(-∞, ∞)

Exponential - Range

(0, ∞)

Exponential - Key Points

(-1, 0.5), (0, 1), (1, 2) [Horizontal Asymptote: y = 0]

Cube Root - Rule

f(x) = ∛x

Cube Root - Domain

(-∞, ∞)

Cube Root - Range

(-∞, ∞)

Cube Root - Key Points

(-8, -2), (-1, -1), (0, 0), (1, 1), (8, 2)