Secant Graph Quizzes, Questions & Answers

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Secant Range Quiz: Secant Range & Excluded Values

Why does secant have such a distinctive range with excluded values? In this quiz, you’ll explore how secant’s relationship to cosine influences its allowed outputs and creates natural gaps in the graph....

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Select all correct implications of the range for graphing y = secθ.

There are horizontal gaps for −1 < y < 1

Each branch stays entirely above y = 1 or entirely below y = −1

Vertices occur at y = ±1

The graph crosses y = 0 at θ = kπ

Vertical asymptotes occur where cosθ = 0

Secant Branch Behavior Quiz: Secant Branch Behavior Between Asymptotes

What happens to secant between its vertical asymptotes? In this quiz, you’ll study how secant curves form separate branches, observe how they move away from cosine’s zeros, and interpret their growth on restricted...

Questions: 20 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
The points θ = kπ are local extrema of y = secθ (where defined).

True

False

Model Periodic Phenomena with Secant/Cosecant Quiz

Make sense of scenarios that rise and fall around an average level. You’ll interpret domain restrictions (where secant is undefined), connect the period to timing, and explain how vertical stretches and shifts affect the...

Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026

Sample Question
Which identity correctly defines the secant function?

Sec(x) = 1/cos(x)

Sec(x) = 1/sin(x)

Sec(x) = cos(x)/sin(x)

Sec(x) = sin(x) + cos(x)

Build the Secant Function from Its Graph Quiz

Turn a secant graph into an equation. You’ll read the distance between asymptotes to get the period, use the vertex height to find the vertical scale and shift, and pinpoint the phase shift from the vertex location. Then...

Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026

Sample Question
A secant graph has period π, vertical asymptotes at x = −3π/4, −π/4, π/4, 3π/4, … and a minimum value of y = −2 at x = 0.

Y = −2 sec(2x)

Y = −2 sec(4x)

Y = 2 sec(2x)

Y = −2 sec(2x − π)

Secant Graphs: Period, Asymptotes, Shifts & Range Quiz

See how secant rides on cosine! You’ll use the reciprocal relationship to place vertical asymptotes where cosine is zero, find the U-shaped branches, and read the period, shifts, and reflections from the equation. By the...

Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026

Sample Question
What is the relationship between the secant function and the cosine function?

Sec(x) = 1/cos(x)

Sec(x) = cos(x)

Sec(x) = −cos(x)

Sec(x) = 1/sin(x)

Secant Graph Quizzes, Questions & Answers

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