Graphs and Derivatives
Authored by Susan Thompson
Mathematics
9th - 12th Grade
CCSS covered
Used 66+ times
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25 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which one of the following statements is always true?
When a graph is increasing, its derivative is negative.
When a graph is decreasing, so is its derivative.
When a graph is decreasing, its derivative is negative.
When a graph is increasing, so is its derivative.
Tags
CCSS.HSF.IF.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
f(x) is a polynomial function. Which one of the following statements is FALSE?
f(x) has a derivative of zero when the graph of f has a relative min or max.
If the derivative of f(x) changes from positive to negative at some point, then the graph of f has a relative minimum at that point.
If the derivative of f(x) is always positive, then the graph of f has no relative extrema.
If the graph of f is always increasing, then the derivative of f(x) is never negative.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which one of the following values could be different than the other three?
"The slope of a curve at a given point"
"The slope of the line tangent to a curve at a given point"
"The derivative of a curve at a given point"
"The height of a curve at a given point"
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Identify the critical points of the following function:
g(x)=2x3-3x2
Tags
CCSS.HSA.APR.B.3
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
f''(x) is pictured. Which x values are inflection points of f(x)?
Tags
CCSS.HSA.REI.D.10
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A
B
C
D
Tags
CCSS.HSF-IF.C.7B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For a function g(x), g'(-2)=0 indicates that x=-2 is ________________.
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