Algebra 2 Exam Review

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, represents the distance of a number x from zero on the number line, always resulting in a non-negative value.

Front

How do you translate a function horizontally?

Back

To translate a function horizontally, you add or subtract a value from the input variable x. For example, g(x) = f(x - 3) translates f(x) 3 units to the right.

Front

What is the inverse of a function?

Back

The inverse of a function reverses the input and output. If y = f(x), then the inverse is x = f⁻¹(y).

Front

What does log_b(a) represent?

Back

log_b(a) represents the exponent to which the base b must be raised to produce the number a.

Front

What is the range of a quadratic function that opens downwards?

Back

The range of a downward-opening quadratic function is all values less than or equal to the maximum value.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and denominator by the least common denominator (LCD) of the fractions involved.

Front

What is a logarithmic identity?

Back

A logarithmic identity is a property that holds true for logarithms, such as log_b(mn) = log_b(m) + log_b(n).

Front

What is the difference between a function and its inverse?

Back

A function maps inputs to outputs, while its inverse maps outputs back to the original inputs.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same value for all inputs.

Front

How do you find the range of a function?

Back

To find the range of a function, determine all possible output values (y-values) based on the function's domain.