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
Exponential rule: a^0 =
1
what is the factored form : x^2 – 9x – 22
(x - 11)(x + 2)
Exponent Rules: x^-a =
1/ x^a
Geometric Sequence – sequence of numbers that ________________ by the same number to compute the next
multiply
what is the asymptote for an exponential function?
A line that the graph approaches but never touches.
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
The number multiplied is called the______________
Common ratio
Exponent Rules: x^a / x^b =
x^(a-b)
what is the factored form? (x-3)^2
x^2-6x+9
Recursive formula for geometric sequence?
an= a (n-1) times r
Which increases faster – exponential functions or linear functions? Why
Exponential/because repeated multiplication will increase faster eventually than repeated addition.
y = ab^x (Growth or Decay), what is b ?
growth or decay factor
y = ab^x (Growth or Decay), what is a ?
initial (starting) value/y-intercept
Exponent Rules: (x^a) ^b =
x^ab
Exponent Rules: x^a times x^b =
x^(a+b)
What is the factored form? x^2 – 49
(x+7) (x-7)
What is the factored form for 3x^2 – 13x – 10
(x - 5)(3x + 2)
what is explicit formula for geometric sequence?
an = a1 r ^n - 1
Factoring by GCF: 10x^2 – 5x
5x(2x - 1)