Precalc- fall review

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the limit of a function as x approaches a value?

Back

To find the limit, evaluate the function at values approaching the target value from both sides, or use algebraic simplification.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the inverse of a function?

Back

To find the inverse, swap the x and y variables and solve for y.

Front

What is the quadratic formula?

Back

Front

What is a limit that does not exist (DNE)?

Back

A limit does not exist if the function approaches different values from the left and right, or if it approaches infinity.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.