Pre Calc Exam 1

R3-R6 Review of Prereqs 3.5 Rational Functions 3.6 Polynomial + Rational Inequalities 4.4 & 4.5 Properties of Logs + Log Equations 4.5 & 4.6 Exponential Equations + Log Models

√x =

| x |

odd root domain

( -∞, ∞ ) meaning it can be negative or positive

even root domain

[ 0, ∞ ) meaning it can only be positive/absolute value

a² – b²

(a + b) (a – b)

a – b

– (b – a)

x – 3
———
3 – x

– 1

if n > m

no horizontal asymptote

If n < m

horizontal asymptote y = 0

if n = m

then horizontal asymptote is a/b

how to find x-intercepts

set numerator = 0
(x, y)

how to find vertical asymptote

set denominator = 0
x = #

how to find y-intercept

plug in x = 0
(x, y)

if you cancel a factor…

it’s a hole

10ª = b

log b = a