PreCalculus Final Exam Review

Front

Which asymptote(s) are determined by looking at the denominator?

Back

Vertical asymptotes are determined by the values of x that make the denominator zero.

Front

Change to Logarithmic Form: 5^3 = 125

Back

log_5 125 = 3

Front

Factor: 3v^2 - 4v - 7

Back

(3v - 7)(v + 1)

Front

Find the horizontal asymptote of the function: (4x - 16)/(x^2 - 16)

Back

y = 0

Front

Solve: 2^x = 4^(x + 1)

Back

x = -2

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Front

What is the definition of a logarithm?

Back

A logarithm is the inverse operation to exponentiation, indicating the power to which a base must be raised to obtain a given number.

Front

How do you find vertical asymptotes?

Back

Vertical asymptotes are found by setting the denominator of a rational function equal to zero and solving for x.

Front

What is the difference between a vertical and horizontal asymptote?

Back

Vertical asymptotes are lines where the function approaches infinity, while horizontal asymptotes describe the behavior of the function as x approaches infinity.

Front

Factor the expression: x^2 - 9

Back

(x - 3)(x + 3)