Parent Graphs

Parent Graphs

Square(Quadratic) Function   

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

Cubic Function    

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f(x)=x3 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

Quartic Function   

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f(x)=x4 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)

Square Root Function  

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f(x)= f(x) x Domain: all nonnegative real numbers Range: all nonnegative real numbers Has intercept at (0,0) Increases on the interval 0, 

Cube Root Function   

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f(x) 3 x f(x)=3rootx Domain: all real numbers Range: all real numbers Has intercept at (0,0) Increases on the interval  , 

Absolute Value Function   

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Ff(x) x Domain: all real number Range: all nonnegative real number Has intercept of (0,0) Decreases on interval (,0) Increases on interval (0,) Symmetric with respect of the y-axis Relative Minimum: (0,0)

Reciprocal Function     

1 f(x) f(x)=1/x x Domain:  ,0  (0, ) Range:  ,0  (0, ) Has no intercepts Decreases on the intervals  ,0 and

0,  

Symmetric with respect to the origin

Step Function      

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jet f(x) x 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