chapter 4 Flashcards
an exponential function
y=a (*) b ^x
what is y in y=a(*)b^x
the output
what is a in y=a(*)b^x
the initial value (y value)
what is b in y=a(*)b^x
growth/ decay factor
what is x in y=a(*)b^x
the # of cycles of growth/ decay
what is the exponential growth
b>1
what is the exponential decay
0<b></b>
how do you graph an exponential function
use an input output table w/ domains as -2,-1,0,1,2
does f(x)=1.5^x show growth or decay?
growth, 1.5>1
what formula do you use if an amount is increasing or decreasing by a constant percentage?
I=p(1+r)^t
what does I stand for in I=p(1+r)^t
y=a(*)b^x
what does the p stand for in I=p(1+r)^t
the initial value
what does r stand for in I=p(1+r)^t
rate of growth/ decay
what does the t stand for in I=p(1+r)^t
of cycles of growth/ decay
what is the growth factor
(b>1)
I+r(in decimal form)
what is the decay factor
(0<b></b>
define domain
x’s
define range
y’s
find the domain and range for and the inverse
X: 0-1-2-4-8
Y: 2-4-5-6-7
Domain: 0 x 8
range: 3
how do you write the inverse of a function f(x)=2x
f^-1(x)=1/2x
what is an exponential equation
b*=a
what is a logarithmic equation
log b ^a=x
how is 2^x=8 written as a log equation
log 2^8=x
what does a log ask?
what power of b is equal to a
