Exponential and Logarithmic Functions Flashcards
1
Q
Exponent: f(x) = Aˣ (parent function)
A
- g(x) = af(bx - c) + d
- = a(Aᵇˣ ⁻ ᶜ) + d
2
Q
Asymptote of g(x)
A
- HA: y = d
- R: y ∈ (d, ∞)
3
Q
Logarithm: f⁻¹(x)
A
= log(A) x
4
Q
Asymptote of log x
A
- VA: x = d
- D: x ∈ (d, ∞)
5
Q
log(c) a = b
A
a = cᵇ
5
Q
Invariant Points for all bases (excluding transitions and reflections)
A
- Exponent: (0, 1)
- Logarithm: (1, 0)
6
Q
log AB
A
= log A + log B
7
Q
Intersection Points for function and inverse
A
f(x) = x
8
Q
log(b) Aⁿ
A
- = n log(b) A, b ∈ R
- ≠ log(b) (A)ⁿ
9
Q
log A/B
A
= log A - log B
10
Q
log(b) A
A
= log(c) A/log(c) b
10
Q
Aⁿ
A
- = 10ⁿ ˡᵒᵍ ᴬ
- = 10⁽ˡᵒᵍ ᴬ⁾ ⁿ
