Adv Alg_Pract_Final Exam Review PART 2

Front

What is the degree measure equivalent to 5π /6 radians?

Back

150°

Front

Which equation is equivalent to log_x 64 = 6?

Back

x^6 = 64

Front

What is the general form of a logarithmic function?

Back

y = log_b(x) is the inverse of y = b^x.

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

How do you convert radians to degrees?

Back

Multiply the radian measure by 180/π.

Front

What is the factorization of the quadratic expression 2x^2 - 6x - 20?

Back

(x - 5)(2x + 4) or (x - 5)(x - 10) depending on the method used.

Front

What is the domain of the function g(x) = 3 log_3(x + 2)?

Back

x > -2.

Front

What is the vertical asymptote of the function f(x) = -4x / (x^2 - 4x - 4)?

Back

x = 2 ± √(4 + 4) = 2 ± 2√2.

Front

What is the definition of a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity.

Front

What is the range of the function g(x) = 3 log_3(x + 2)?

Back

All real numbers.