Parent Functions

1
Parent Functions
2
Learning Goal

• I will be able to recognize parent functions,
  graphs, and their characteristics.

3
Constant Function
Equation f(x) 2 Calculator Notation y1
2 Domain all real numbers Range 2
4
Linear Function
Equation f(x) x Calculator Notation y1
x Domain all real numbers Range all real numbers
5
Quadratic Function
Equation f(x) x2 Calculator Notation y1
x2 Domain all real numbers Range y gt 0
6
Cubic Function
Equation f(x) x3 Calculator Notation y1
x3 Domain all real numbers Range all real
numbers
7
Absolute Value Function
Equation Calculator Notation y1
abs(x) Domain all real numbers Range y gt 0
8
Square Root Function
Equation Calculator Notation Domain x gt
0 Range y gt 0
9
Exponential Function
Equation f(x) 2x Calculator Notation y1
2x Domain all real numbers Range y gt 0
10
Logarithmic Function
Equation f(x) log(x) Calculator Notation y1
log(x) Domain x gt 0 Range all real numbers
11
Rational Function
Equation Calculator Notation y1 1/x Domain
x lt 0 and x gt 0 Range y lt 0 and y gt 0