Learn to find the range of the secant function

The video tutorial covers graphing the secant function y = 2 sec(3x + π/2). It begins with setting up the problem and understanding reciprocal functions. The instructor explains how to calculate the period and X scale, determine the phase shift, and sketch the graph. The tutorial emphasizes the importance of graphing the cosine function first to aid in graphing the secant function. It concludes with analyzing the graph's properties, including amplitude, period, phase shift, and range.

What is the reciprocal function of secant?

• Tangent

• Cosecant

• Sine

• Cosine

How do you calculate the period of a trigonometric function?

• Divide 2π by B

• Subtract B from 2π

• Multiply 2π by B

• Add 2π to B

What is the X scale if the period is 2π/3?

• π/6

• π/4

• π/3

• π/2

How do you determine the phase shift of a function?

• By finding the maximum value of the function

• By calculating the derivative of the function

• By setting the function equal to 1

• By setting the inside of the function to 0 and solving for X

What is the starting point of the graph after the phase shift?

• 0

• -π/6

• π/3

• π/6

What transformation is applied to the graph after shifting left by π/6?

• Shift down by 1

• Shift up by 1

• Shift left by 1

• Shift right by 1

What is the period of the secant function discussed?

• π/2

• 2π

• 2π/3

• π/3

What is the range of the secant function?

• (-∞, ∞)

• (-∞, 0) ∪ (2, ∞)

• (0, ∞)

• (0, 2)

What happens at the X intercepts of the cosine function when graphing secant?

• They become minimum points

• They become asymptotes

• They become maximum points

• They remain unchanged

What is the phase shift of the secant function?

• Shift left π/6

• Shift right π/6

• Shift down π/6

• Shift up π/6