precalc unit 6 review

basic idea: logₐ1 = 0

examples:

[real problem] log₅₀1

ln 1 (logₑ1)

log 1 (log₁₀1)

basic idea: logₐa = 1

examples:

[real problem] log₆₇67

ln e (logₑe)

log 10 (log₁₀10)

ln(x-1)

domain: (1, ∞)

e√ˣ

domain: x ≥ 0

e⁻ˣ

range: y > 0

3ˣ

range: y > 0

ln(x)

range: all real numbers

f(x) = √x

y ≥ 0

rate/interest formula

A = P (1 + r/n) ⁿᵗ

continuous rate formula

A = Peʳᵗ

radical equation graphs

B and E

exponential equation graphs

A and H

polynomial equation graphs

C, D, I, and J

logarithmic equation graph

F

rational equation graphs

G, K, and L

polynomial with a positive leading coefficient graphs

C and J

rational with a larger power in the denominator graph

K

odd polynomial graphs

D and J

polynomial with a negative leading coefficient graphs

D and I

even polynomial graphs

C and I

even radical graph

E

rational with equal powers in the denominator and numerator graphs

G