Precal Fall Final

Front

Write in logarithmic form: 5^2 = 25

Back

log_5(25) = 2

Front

What is the domain and range of the function?

Back

D: (-∞, +∞) R: [2, +∞)

Front

Determine if the following table is linear or exponential: (provide a sample table)

Back

Linear Table

Front

Determine if the following table is linear or exponential: (provide a sample table)

Back

Exponential Table

Front

Find all zeros of the polynomial function P(x) = x^3 + 6x^2 + 9x + 54

Back

-6, 3i, -3i

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

State the properties of logarithms: product, quotient, and power rules.

Back

1. log_b(MN) = log_b(M) + log_b(N) (Product Rule) 2. log_b(M/N) = log_b(M) - log_b(N) (Quotient Rule) 3. log_b(M^p) = p * log_b(M) (Power Rule)

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for the variable.

Front

What is the standard form of a polynomial?

Back

A polynomial is expressed in standard form as a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n ≠ 0.