Learn to find the range of the secant function

Learn to find the range of the secant function

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal function of secant?

Tangent

Cosecant

Sine

Cosine

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

π/6

π/4

π/3

π/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

0

-π/6

π/3

π/6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the secant function discussed?

π/2

2π/3

π/3

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