PreCalculus Final Exam Review

Front

f(x)=x^2-5; find f(x-1)

Back

f(x-1) = (x-1)^2 - 5 = x^2 - 2x - 4

Front

What is the horizontal asymptote of the function?

Back

The horizontal asymptote is y = -3.

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36

Front

Change to Logarithmic Form: 5^3 = 125

Back

log_5 125 = 3

Front

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

Back

x = -2

Front

Definition of a function

Back

A relation where each input has exactly one output.

Front

What is a vertical asymptote?

Back

A vertical line x = a where a function approaches infinity.

Front

Definition of a logarithm

Back

The logarithm log_b(a) is the exponent to which b must be raised to get a.

Front

What is the quadratic formula?

Back

x = (-b ± √(b²-4ac)) / (2a) for ax² + bx + c = 0.

Front

Definition of a polynomial function

Back

A function that is represented by a polynomial expression.