Fall Exam Review Precalculus

Front

What is the property of logarithms that allows you to combine two logs with the same base?

Back

The property states that log_a(b) + log_a(c) = log_a(b * c).

Front

Solve the equation: log_9 (x - 4) + log_9 (x + 1) = log_9 (x + 5) + log_9 (x - 6). What is the solution?

Back

x = 13.

Front

What is Sigma Notation?

Back

Sigma Notation is a way to represent the sum of a sequence of terms, using the Greek letter Sigma (Σ) to denote the sum.

Front

Back

The sum is 46.

Front

What is an asymptote in mathematics?

Back

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

Front

Where is the vertical asymptote for the function f(x) = 1/(x - 1)?

Back

The vertical asymptote is at x = 1.

Front

What does the y-intercept of a graph represent?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

What is the general form of an exponential function?

Back

The general form is y = a * b^x, where 'a' is a constant and 'b' is the base.

Front

If a = 1/3 in the function y = a * (3^x), what is the function?

Back

The function is y = (1/3) * (3^x).

Front

Back

The sum is 15.