Geometric, Arithmetic or Neither? (Rate)
-2, 5, 12, 19, ...
What is arithmetic (d=7)
-2, 5, 12, 19, ...
What is a_n=-9+7n ?
Standard form of an exponential function.
What is
f(x)=ab^x
Is f(x)=6(.02)^x growth or decay?
What is exponential decay?
1, 5, 25, 125, ...
What is Geometric? (r=5)
1, 5, 25, 125, ...
What is a_n=1/5(5^n) ?
An arithmetic sequence.
What is a_n=a_0+dn ?
Is f(x)=-5(2)^x increasing or decreasing?
What is decreasing?
Original: f(x)=3^x .
New: g(x)=3^x-5
What is a vertical shift down 5?
6, 1, -4, -9, -13, ...
What is Neither?
500, 400, 300, 200, ...
What is a_n=600-100n ?
A geometric sequence
What is
g_n=g_0(r)^n
Is f(x)=-3(0.25)^x increasing or decreasing?
What is increasing?
Original: f(x)=3^x
New: g(x)=9*3^x
What is a Horizontal shift of 2 to the left?
36, 6, 1, 1/6 , ...
What is geometric? (r= 1/6 )
36, 6, 1, 1/6 , ...
What is
a_n=216(1/6)^n
An exponential function that has been shifted k units up.
What is f(x)=b^x+k ?
What is lim_(x->oo) f(x) for f(x)=3(0.75)^x ?
What is 0?
Original: f(x)=3^x
New: g(x)=27^x
What is a Horizontal Dilation by a factor of 1/3?
21, 19.6, 18.2, 16.8, ...
What is arithmetic? (d=-1.4)
9, 27, 81, ...
What is a_n=3(3)^n ?
An exponential function that has been shifted k units to the left.
What is f(x)=b^(x+k) ?
Is f(x)=4(5)^x concave up or down?
What is concave up?
Original: f(x)=16^x
New: g(x)=4^x
What is a horizontal dilation by a factor of 2?