APPC Unit 2A Review

Front

What is the exponential form of f(x) = 3 · 6^(2x)?

Back

f(x) = 3 · 36^x.

Front

How does the graph of g(x) = 9 · 3^x relate to f(x) = 3^x?

Back

The graph of g is the graph of f with a horizontal translation of -2.

Front

What is the expression for F(t) if the flu cases increase exponentially?

Back

F(t) = 50(1.2)^(t-2).

Front

What does the function P(x) = a · b^x represent in the context of ticket prices?

Back

P(x) represents the price of a Broadway show ticket x weeks after opening.

Front

If P(x) = 1.1 · 1.1 · 1.1 · 80, what are the values of a and b?

Back

a = 80 and b = 1.1, indicating a 10% increase in ticket price each week.

Front

What is the explicit formula for the sequence with values $729, $243, and $81?

Back

a_n = 729(1/3)^(n-1).

Front

Define exponential growth in the context of functions.

Back

Exponential growth occurs when a quantity increases by a consistent percentage over equal time intervals.

Front

What is the general form of an exponential function?

Back

The general form is f(x) = a · b^x, where a is the initial value and b is the growth factor.

Front

How do you determine the growth factor in an exponential function?

Back

The growth factor is found by dividing the value of the function at one point by its value at a previous point.

Front

What is a horizontal translation in graphing functions?

Back

A horizontal translation shifts the graph left or right along the x-axis.