Parent Functions Reference Book

Linear Function

A function of the form f(x) = mx + b, where m and b are constants.

Quadratic Function

A function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Cubic Function

A function of the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.

Quartic Function

A function of the form f(x) = ax^4 + bx^3 + cx^2 + dx + e, where a, b, c, d, and e are constants.

Even Function

A function f(x) is even if f(-x) = f(x) for all x in its domain.

Odd Function

A function f(x) is odd if f(-x) = -f(x) for all x in its domain.

Radical Function

A function that is defined by a root, such as f(x) = √x.

Rational Function

A function that is the ratio of two polynomials, such as f(x) = 1/x.

Exponential Function

A function of the form f(x) = a^x, where a is a constant and x is the variable.

Absolute Value Function

A function defined as f(x) = |x|, representing the distance of x from zero.

Linear Function

f(x)=-1/4x+2

Quadratic Function

2x^2-4x-6

Cubic Function

x^3+x^2-6x

Quartic Function

f(x) = x^4 - 3x^2 + 2

Even Function

f(-x) = f(x)

Odd Function

f(-x) = -f(x)

Radical Function

f(x) = \sqrt{x}

Rational Function

f(x) = \frac{1}{x}

Exponential Function

f(x) = 2^x

Absolute Value Function

f(x) = |x-3|