
Understanding Continuity in Trigonometric Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned

Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the interval over which we need to determine the continuity of the function?
From 0 to π
From 0 to 2π
From -2π to 2π
From -π to π
Tags
CCSS.HSF.BF.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't the natural log of 2x divided by π equal zero?
Because it would make the function continuous
Because it would make the function positive
Because it would make the function undefined
Because it would make the function negative
Tags
CCSS.HSF.BF.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true about the expression 2x divided by π for the function to be continuous?
It must be equal to one
It must be greater than zero
It must be equal to zero
It must be less than zero
Tags
CCSS.HSF.TF.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of possible outputs for sine x?
From -1 to 1
From 0 to 2
From -2 to 2
From 0 to 1
Tags
CCSS.HSF.TF.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the tangent function continuous over the interval of sine x?
Because sine x is always positive
Because sine x is always negative
Because sine x is equal to zero
Because sine x is within the range -1 to 1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What value of x must be excluded to maintain continuity?
x = 0
x = 2π
x = π/2
x = π
Tags
CCSS.6.EE.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of solving the inequality 2x divided by π > 0?
x = π
x = 0
x < 0
x > 0
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