AP PreCalc Unit 1B Quiz B

how to find y coordinate of a hole

plug in the x coordinate of the hole into the function

what is the limit of a hole in either direction?

the y coordinate of the hole

how to find a hole

factor that cancels out in both the numerator and the denominator

what ever is left of your numerator after removing holes is what

your graph with look like

how to find domain

factor denominator

how to find zeros

factor numerator (make sure factors don’t cancel out)

how to find verticle asymptote

factors in denominator that dont cancel out

how to find horizontal asymptote

look at leading degree in numerator and denominator

slant asymptote

when the degree of the numerator is only one more than the degree in the denominator

if you have a positive slant asymptote what is the limit

-∞=-∞ +∞=+∞

how to find equation for slant asymptote

use long division (divide numerator by denominator taking the leading term of the denominator putting it into numerator)

if you are asked for the slant asymptote equation should you include the remainder?

no.

how to find y-intercept

sub in 0 for x

when doing long division, do you need every x degree in the dividend?

YES!! YOU MUST PUT ALL X DEGREES IN IF ITS MISSING. EX: 3x³-2x²+0x-1

translations

rigid movements horizontally or vertically

if the translation is outside of the parentheses is it horizontal or vertical

vertical

if the translation is inside of the parentheses is it horizontal or vertical

horizontal

if a horizontal translation is plus are you moving to the left or right

left

if a horizontal translation is minus are you moving left or right

right

when translating a fuction that has both a verticle reflection and a translation, what should you do first

VERTICLE TRANSLATION!

if you are just giving the domain and range how do you do vertical and horizontal translations

add or subtract horizontal movement from domain

add or subtract vertical movement from range

TRUE OR FALSE: Vertical reflections only affect RANGE

TRUE

when given domain and vertical reflection, what do you do

make all rangle values opposite then add or subtract vertical translation. (MAKE SURE TO WRITE IN CORRECT ORDER AFTER CHANGING TO NEGATIVE IF NEEDED)