Pre calc 12 graphs

Linear Function

Straight line. F(x)=x. Points: (0,0) (1,1) (2,2) ect

Quadratic function

Parabola. F(x)=x². Points: (0,0) (1,1) (2,4)

Cubic function

Half a parabola on each side of x axis. F(x)=x³. Points: (0,0) (1,1) (-1,-1)

Sin function

Swiggly line that goes through (0,0). F(x)=sin(x). Points: (0,0) (pie over 2, 1) (pie, 0)

Cosine function

Swiggly line that doesn’t go through (0,0). F(x)=cos(x). Points: (0,1) (pie, -1)

Absolute value function

V. F(x)= absolute value of x. Points: (0,0) (1,1) (2,2)

Square root function

Arrow to right that starts at (0,0). F(x)=square root of x. Points: (0,0) (1,1) (4,2)

Reciprocal function

Two curvy lines that don’t touch 0. F(x)= 1/x. Points: (1,-1) (1,1)

Exponential function

Curvy arrow up that doesn’t go below 0. F(x)=e^x. Points: (0,1)

Logarithmic Function

Goes down on y axis and arrow to the right. F(x)=Log(x). Points: (1,0) (10,1)

Greatest Integer function

Steps. F(x)=int(x). Points: all integers some points not included then included in the next step up

Natural Log function

Looks like other log, goes along y axis then up and right. F(x)=Ln(x). Points: (0,1) no other whole numbers