
IB Tangent Normals
Authored by Anthony Clark
Mathematics
12th Grade
CCSS covered

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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of the tangent to the curve f(x)= 4x2+2x-1 at the point x=0?
y+1=2(x+1)
y = 2x - 1
y=2x+2
y = 2x -3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the slope of the line tangent to the graph of y=x2 – 2 at the point x = -8.
2
-4
-8
-16
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If f '(x) = 0, what does that mean with respect to the tangent line?
Tangent line is vertical
Tangent line has a positive slope
Tangent line is horizontal
Tangent line has a negative slope
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The normal to the curve is
the derivative
the integral
perpendicular to the tangent to the curve
the tangent to the curve
5.
MULTIPLE CHOICE QUESTION
1 min • 3 pts
What is tan 30°?
1
1/√3
√3/2
½
Tags
CCSS.HSF.TF.A.2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For what value(s) of x does the function
f(x) = 4x3- x2- 2x+5 have a horizontal tangent?
x=-1/3 or 1/2
x= 1/3 or -1/2
x=3 or -2
x=-3 or 2
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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