1. Parent Graphs

2. Square(Quadratic) Function
f(x) = x2
Domain: all real number
Range: all nonnegative real number
Has intercept of (0,0)
Decreases on interval
Increases on interval
Symmetric with respect of the y-axis
Relative Minimum: (0,0)

3. Quartic Function f(x)=x4 Domain: all real number
Range: all nonnegative real number
Has intercept of (0,0)
Decreases on interval
Increases on interval
Symmetric with respect of the y-axis
Relative Minimum: (0,0)

4. Cubic Function f(x)=x3 Domain: all real numbers
Range: all real numbers
Has intercept at (0,0)
Increases on the interval
Symmetric with respect to the origin

5. Square Root Function f(x)= Domain: all nonnegative real numbers
Range: all nonnegative real numbers
Has intercept at (0,0)
Increases on the interval

6. Cube Root Function f(x)=3rootx Domain: all nonnegative real numbers
Range: all real numbers
Has intercept at (0,0)
Increases on the interval

7. Absolute Value Function
Domain: all real number
Range: all nonnegative real number
Has intercept of (0,0)
Decreases on interval
Increases on interval
Symmetric with respect of the y-axis
Relative Minimum: (0,0)

8. Reciprocal Function f(x)=1/x Domain: Range: Has no intercepts
Decreases on the intervals and
Symmetric with respect to the origin

9. Step Function jet Domain: all real numbers Range: all integers
Has y-intercept (0,0)
Has x-intercept [0,1)
Is constant between each pair of consecutive integers
Jumps vertically one unit at each integer value