Semester Exam SG

Front

What is a transformation in the context of graph functions?

Back

A transformation refers to the changes made to the graph of a function, including translations, reflections, stretches, and compressions.

Front

Define translation in graph transformations.

Back

Translation is a type of transformation that shifts a graph horizontally and/or vertically without changing its shape.

Front

What does it mean for a function to be decreasing on an interval?

Back

A function is decreasing on an interval if, for any two points in that interval, the function's value at the first point is greater than its value at the second point.

Front

How do you determine 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

Explain odd symmetry in graphs.

Back

A graph has odd symmetry if it is symmetric about the origin, meaning that if (x, y) is on the graph, then (-x, -y) is also on the graph.

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, from which more complex functions can be derived through transformations.

Front

How do you find the number of solutions of a graph?

Back

The number of solutions can be determined by analyzing the intersections of the graph with the x-axis; each intersection represents a solution.

Front

What is the significance of the interval notation in describing function behavior?

Back

Interval notation is used to specify the set of x-values for which a function exhibits certain behaviors, such as increasing or decreasing.

Front

Define a real solution in the context of graph intersections.

Back

A real solution refers to an intersection point of a graph with the x-axis that corresponds to a real number.