Graphing Functions: Algebra Exam Questions – MA105, Week 6

Summary

Algebra exam questions on graphing functions. Students get practice with identifying asymptotes, domains, and graphing rational functions.

Finding domains and asymptotes

Students find domains of given functions. They identify vertical, horizontal and slant asymptotes. They find the zeros of a rational function.

Selecting correct graphs

Students choose the correct graph of a given function. They match a given graph to a rational function. They select the correct graph of a cost function.

Comparing graphs of functions

Students explain how the graphs of two functions differ. They find the horizontal asymptote of a given function. They interpret its meaning in a real-world context.

Graphing and modelling

Students graph a given function. They write one variable as a function of another. They model experimental data with a rational function.

Key terms

asymptote

A line that a curve approaches but does not intersect as it tends to infinity.

domain

The set of all possible inputs (x-values) for a function.

rational function

A function that can be written as the ratio of two polynomials.

zeros of a function

The x-values for which the function equals zero.

intercepts

The points where a graph crosses the x-axis or y-axis.

horizontal asymptote

A horizontal line that a curve approaches as x tends to infinity.

Questions this document helps with

• How do you find the domain of a function?
• What are the different types of asymptotes?
• How do you graph a rational function?

Summary written with AI from the document's text.