Analyzing Function Values and Graphs

The video tutorial explains how to find the maximum and minimum values of a trigonometric function, f(x) = 6.6 cos(x) - 2.8 sin(x). It covers the importance of y-values in determining these values, and demonstrates how to graph the function using a calculator in radian mode. The tutorial provides step-by-step instructions on using the calculator to find the maximum and minimum values, highlighting the use of the calculation menu and cursor movements. The maximum value is approximately 7.1694, and the minimum value is approximately -7.1694.

What is the given trigonometric function in the video?

• f(x) = 6.6 sin(x) - 2.8 cos(x)

• f(x) = 6.6 cos(x) - 2.8 sin(x)

• f(x) = 2.8 cos(x) + 6.6 sin(x)

• f(x) = 2.8 sin(x) - 6.6 cos(x)

What do the x-values represent when finding maximum values of a function?

• The minimum values

• The location of the maximum values

• The average values

• The maximum values themselves

In which mode is the function graphed in the video?

• Polar mode

• Radian mode

• Cartesian mode

• Degree mode

What is the standard window range used for graphing the function?

• From -5 to 5

• From -10 to 10

• From -20 to 20

• From 0 to 10

What characteristic of the graph helps in identifying maximum and minimum points?

• Its linearity

• Its periodic nature

• Its intercepts

• Its asymptotes

Which option is selected on the calculator to find the maximum value?

• Option 1

• Option 2

• Option 4

• Option 3

What is the approximate maximum value of the function?

• 8.1694

• 5.1694

• 7.1694

• 6.1694

What is the predicted minimum value of the function before verification?

• -6.169

• -5.169

• -7.169

• -8.169

Which option is selected on the calculator to find the minimum value?

• Option 1

• Option 4

• Option 2

• Option 3

What is the approximate minimum value of the function after verification?

• -7.1694

• -6.1694

• -8.1694

• -5.1694