Exam Review Determine the range of the cosine function with no numbers

The video tutorial discusses the concept of range in mathematical functions, focusing on how different variables impact the range. The teacher explains the process of eliminating incorrect answer choices by understanding the role of horizontal and vertical shifts. Graphing is used as a tool to simplify the problem, and the importance of vertical shifts in determining the range is highlighted. The tutorial concludes with the correct answer choice based on the analysis.

Which variable affects the function horizontally but does not impact the range?

• D

• C

• B

• A

What is the effect of assuming B equals 1 when graphing the function?

• It shifts the graph horizontally.

• It simplifies understanding of vertical shifts.

• It changes the function's range.

• It eliminates the need for graphing.

How does subtracting a value affect the graph's position?

• It shifts the graph upwards.

• It compresses the graph horizontally.

• It stretches the graph vertically.

• It shifts the graph downwards.

What is the impact of the variable 'B' on the range of the function?

• It stretches the range vertically.

• It shifts the range downwards.

• It compresses the range horizontally.

• It shifts the range upwards.

Why is 'A' not considered in determining the range of the function?

• Because 'A' is not part of the function.

• Because 'A' affects the graph vertically.

• Because 'A' affects the graph horizontally.

• Because 'A' does not affect the graph at all.