PreCalc BC Final Review Semester 1

Front

What is the solution to the equation log₂(x + 5) = 3?

Back

x = 3

Front

What is the domain and range of the function f(x) = ln(x)?

Back

Domain: x > 0, Range: all real numbers

Front

What is the general form of a logarithmic function?

Back

y = log_b(x) where b > 0 and b ≠ 1.

Front

What are the domain restrictions for the function f(x) = 1/(x - 3)?

Back

x ≠ 3

Front

What is the range of the function f(x) = 1/(x - 3)?

Back

Range: all real numbers except 0.

Front

What is the definition of a rational function?

Back

A function that can be expressed as the ratio of two polynomials.

Front

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

Back

Domain: x ≥ 1.

Front

What is the definition of a logarithm?

Back

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

Front

What is the vertical asymptote of the function f(x) = 1/(x + 2)?

Back

x = -2.

Front

What is the horizontal asymptote of the function f(x) = 2x/(x + 1)?

Back

y = 2.