PreCalc BC Final Review Semester 1

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 as the input approaches a. It indicates that the function is undefined at that point.

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

How do you find the vertical asymptote of a rational function?

Back

To find the vertical asymptote of a rational function, set the denominator equal to zero and solve for x.

Front

What does it mean if a function has no vertical asymptote?

Back

If a function has no vertical asymptote, it means that the function is defined for all real numbers and does not approach infinity at any point.

Front

What is the significance of the horizontal asymptote?

Back

A horizontal asymptote indicates the behavior of a function as x approaches infinity or negative infinity, showing the value that the function approaches.

Front

How do you determine the range of a function?

Back

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

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the process to find the exact value of a function at a given point?

Back

To find the exact value of a function at a given point, substitute the x-value into the function and simplify.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.

Front

What is the importance of identifying excluded values in a function?

Back

Identifying excluded values is important because they indicate points where the function is undefined, often leading to vertical asymptotes.