C3 Flashcards
if y=eˣ, then x = ?
ln(y)
ln(a) + ln(b) = ?
ln(ab)
ln(a) - ln(b) = ?
ln(a/b)
kln(a) = ?
ln(aᵏ)
ln(e) = ?
1
ln(1) = ?
0
ln(eˣ) = ?
x
eˡⁿˣ = ?
x
lnx is the inverse of ?
eˣ
eˣ is the inverse of ?
lnx
How do you display the root of two lines?
Intersection
How do you show that a root lies between 4 & 5?
input x=4 into f(x)
input x=5 into f(x)
if there is a sign change then root lies between the two values of x
What form must equations be in for iteration?
x =
What value should you first input into iteration?
lowest value of restriction range
How should you treat reflections?
As stretches
If stretches & translations are in different axes, then the order ____ ?
Doesn’t matter
If stretches & translations are both in the y axes, then the order ____ ?
Stretch, then translate
If stretches & translations are both in the x axes, then the order ____ ?
Translate, then stretch
when does |x|= x?
when x≥0
when does |x| = -x?
when x≤0
If |x| = k, then x = ?
x = ±k
If |x| = |y| then x² =, x = ?
x² = y², x = ±y
Restrictions when |x| ≤ k
-k ≤ x ≤ k
Restrictions when |x| ≥ k
x ≥ k or x ≤ -k
If |𝓍| ≤ |y|, then 𝓍² ____ ?
𝓍² ≤ y²
y = eˣ, dy/d𝓍 = ?
dy/d𝓍 = eˣ
y = eᶠ⁽ˣ⁾, dy/d𝓍 = ?
dy/d𝓍 = f’(𝓍)eᶠ⁽ˣ⁾
y = ln𝓍, dy/d𝓍 = ?
dy/d𝓍 = 1/x