Parent Graphs

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)

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)

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

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

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

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)

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

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