Exponential and Inverse

Front

What is the exponential equation for a car valued at $15,000 that depreciates at a rate of 8% per year?

Back

y=15,000(0.92)^x

Front

Evaluate: f( __________) = 4

Back

2

Front

What is the horizontal line which the values of the function cannot fall below?

Back

Asymptote

Front

What is the asymptote of the parent function y=2^x?

Back

y=0

Front

This table represents what kind of function? (Options: Linear, Exponential Growth, Exponential Decay, Quadratic)

Back

Quadratic

Front

Define Exponential Growth.

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time.

Front

Define Exponential Decay.

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time.

Front

What is the general form of an exponential function?

Back

y = a(b)^x, where 'a' is the initial value and 'b' is the growth/decay factor.

Front

What does the base 'b' represent in an exponential function?

Back

The base 'b' represents the growth (b > 1) or decay (0 < b < 1) factor.

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that a graph approaches but never touches.