pre calc 1

Domain of a radical function using radicand

Domain of a radical function using radicand

≥

domain of a rational function using denominator

≠0

use vertical line test to

test for function

constant function

f(x) =2

linear function

f(x)=x

absolute value function

f(x)=|x|

quadratic function

f(x)=x^2

Cubic Function

f(x)=x^3

square root function

f(x)=√x

Cube Root Function

f(x) = ³√x

Reflect over y-axis

√-x

reflect over x-axis

-√x

finding the inverse of a function

switch x and y and solve for y

verifying inverse functions

plug each function into each other

verifying inverse functions on a graph

check to see if the points are flipped (1,4)(4,1)

one-to-one function

a function where each element of the range is paired with exactly one element of the domain

use horizontal line test to

test for one-to-one function

function

a relation in which each element of the domain is paired with exactly one element of the range

completing the square

get a to equal one and b/2 and b^2 plug it in before and after c

identify the vertex in general form

x=-b/2a then plug x in

Identify the x-intercept

set the the quadratic to 0 if its not factorable do quadratic formula

identify the y-intercepts

set x to 0