Exponential/Logarithmic Review

Front

What is the domain and range of the function y=2^x?

Back

Domain: All Real Numbers; Range: y > 0

Front

Which of the following is NOT a transformation of the equation f(x)=3·2^(x-3)+3?

Back

Shift horizontally left 3 units

Front

Using the parent function y=3^x, what would the graph of y=3^(x+1) look like?

Back

Horizontal shift left one unit

Front

Evaluate: log_4(64) = x

Back

x = 3

Front

An investment of $9,875 earns 4.8% interest compounded monthly over 12 years. Approximately how much INTEREST is earned on the investment?

Back

$7,457.95

Front

What is the general form of an exponential function?

Back

f(x) = a·b^x, where a is a constant and b > 0.

Front

What is the inverse of an exponential function?

Back

The inverse is a logarithmic function.

Front

What is the base of the natural logarithm?

Back

The base of the natural logarithm is e (approximately 2.718).

Front

How do you convert an exponential equation to logarithmic form?

Back

If b^y = x, then log_b(x) = y.

Front

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

Back

The vertical asymptote is y = 0.