Major Assessment #4: Rational Functions

Front

What is the relationship between the number of workers and the time taken to complete a job?

Back

The time required to complete a job varies inversely as the number of people working.

Front

If 7 electricians take 4 hours to complete a job, how long will it take 3 electricians?

Back

9 hours 20 minutes.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

When is there NO horizontal asymptote in a rational function?

Back

When the exponents in the numerator are greater than the denominator.

Front

What does it mean if a function has a vertical asymptote?

Back

A vertical asymptote indicates that the function approaches infinity or negative infinity as it approaches a certain x-value.

Front

How do you find vertical asymptotes in a rational function?

Back

Set the denominator equal to zero and solve for x.

Front

What is the significance of a hole in a graph of a rational function?

Back

A hole indicates a point where the function is not defined, typically due to a common factor in the numerator and denominator.

Front

What is direct variation?

Back

Direct variation occurs when two variables are related in such a way that as one variable increases, the other also increases.

Front

What is inverse variation?

Back

Inverse variation occurs when one variable increases while the other decreases, maintaining a constant product.

Front

What is the condition for a horizontal asymptote to equal zero?

Back

The degree of the numerator is less than the degree of the denominator.