MATH Parent functions

Describe a constant parent function

f(x) = c

Domain: (-∞, ∞)

Describe a linear parent function

f (x) = x

Domain: (-∞, ∞)

Describe a quadratic function

f(x) = x²

Domain: (-∞, ∞)

Describe a cubic function

f(x) = x³

Domain: (-∞, ∞)

Describe a reciprocal function

f(x) = 1/x

Domain: (-∞,0) U (0,∞)

Describe a reciprocal squared function

f(x) = 1/x²

Domain: (-∞,0) U (0,∞)

Describe a square root function

f(x) = √x

Domain: [0,∞)

Describe a cube root function

f(x) = 3√x

Domain: (-∞, ∞)

Describe an absolute value function

f(x) = IxI

Domain: (-∞, ∞)

Describe an exponential growth function

f(x) = b^x = (1/b)^-x

for b > 1

Domain: (-∞, ∞)

Describe an exponential decay function

f(x) = (1/b)^x = b^-x

for b > 1

Domain: (-∞, ∞)

Describe a logarithmic growth function

f(x) = logb(x)

for b >1

Domain: (0, ∞)

Describe a logarithmic decay function

f(x) = logb(x)

for 0 < b < 1

Domain: (0, ∞)

How do you determine if a relation is a function

Vertical line test

How do you determine if a one-one function

Horizontal line test