#4 semester review | Pre-K

Front

What is the general form of an exponential function?

Back

An exponential function is generally expressed as y = a(b)^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.

Front

How do you express log properties to combine logarithmic expressions?

Back

You can use properties such as log_b(m) + log_b(n) = log_b(m*n) and log_b(m) - log_b(n) = log_b(m/n) to combine logarithmic expressions.

Front

What is the domain of the function f(x) = 1/(x-5)?

Back

The domain is all real numbers except x = 5, expressed as {x | x ≠ 5}.

Front

How do you find the domain of a rational function?

Back

The domain of a rational function is found by identifying values that make the denominator zero and excluding them from the set of real numbers.

Front

What does it mean to triple your money every day in mathematical terms?

Back

If you start with an amount 'a', after 'x' days, the amount can be expressed as y = a(3)^x.

Front

What is the logarithmic identity for log(a^b)?

Back

The identity states that log_b(a^c) = c * log_b(a).

Front

How do you convert log expressions into exponential form?

Back

The expression log_b(a) = c can be converted to exponential form as b^c = a.

Front

What is the value of log(3^2)?

Back

log(3^2) = 2 * log(3).

Front

What is the difference between a linear function and an exponential function?

Back

A linear function has a constant rate of change and is expressed as y = mx + b, while an exponential function has a variable rate of change and is expressed as y = a(b)^x.

Front

How do you express the equation for a geometric sequence?

Back

A geometric sequence can be expressed as a_n = a_1 * r^(n-1), where 'a_1' is the first term and 'r' is the common ratio.