y = ab^x (Growth or Decay), what is a ?
initial (starting) value/y-intercept
y = ab^x (Growth or Decay), what is b ?
growth or decay factor
Recall the additional exponential formulas, when the rate is given as a percent, convert it to a decimal and write as______for growth
1+r
Recall the additional exponential formulas, when the rate is given as a percent, convert it to a decimal and write as______for decay
1-r
Which increases faster – exponential functions or linear functions? Why
Exponential/because repeated multiplication will increase faster eventually than repeated addition.
Exponent Rules: x^a times x^b =
x^(a+b)
Exponent Rules: x^a / x^b =
x^(a-b)
Exponent Rules: (x^a) ^b =
x^ab
Exponent Rules: x^-a =
1/ x^a
Geometric Sequence – sequence of numbers that ________________ by the same number to compute the next
multiply
The number multiplied is called the______________
Common ratio
what is explicit formula for geometric sequence?
an = a1 r ^n - 1
Recursive formula for geometric sequence?
an= a (n-1) times r
what is the asymptote for an exponential function?
A line that the graph approaches but never touches.
Exponential rule: a^0 =
1
Factoring by GCF: 10x^2 – 5x
5x(2x - 1)
