Domain
X axis
Range
Y axis
Vertical asymptote
What makes the denominator zero
Horizontal asymptote
Leading values divided by zero
X intercept
What makes the numerator zero
Y intercept
Input zero
x²/x
Infinity
x/x²
Zero
2x²/x²
2
Hole
Same factor in numerator+denominator
-(inside)
Y axis reflection
(-inside)
X axis reflection
Log graphs have…
Vertical asymptote
Exponential graphs have…
Horizontal asymptote
Anchor points for log_b(x)
(0,1) and (b,1)
Product
bᵐbᵖ=bᵐ⁺ᵖ
Quotient
bᵐ/bᵖ=bᵐ⁻ᵖ
Power
(bᵐ)ᵖ=bᵐᵖ
Log_b(Mᵖ)
P*Log_B(M)
Change of Log
Log_a(b)=Log_c(b)/Log_c(a)