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WorksheetsCh 3 Part 1 Review
Total questions: 13
Worksheet time: 29mins
Name
Class
Date
1.
At what x-value(s) does f(x) have a maximum?
a)
x = -1
b)
x = 1
c)
x = 3
d)
x = -1 and x = 3
2.
At what x-value(s) does f(x) have a minimum?
a)
x = -3
b)
x = 1
c)
x = 5
d)
x = -3 and x = 5
3.
Over what interval(s) is f(x) decreasing?
a)
(-3, 1)
b)
(-∞, -5) ∪ (0, 2)
c)
(-∞, -3) ∪ (1, ∞)
d)
(-5, 0) ∪ (2, ∞)
4.
Over what intervals is f(x) decreasing?
a)
(-∞, -1) ∪ (1, ∞)
b)
(-∞, -√3) ∪ (0, √3)
c)
(-1, 1)
d)
(-√3, 0) ∪ (√3, ∞)
5.
If (a,b) is a local minimum, then what will be true about f'(a)?
a)
It's positive
b)
It's negative
c)
It's zero
d)
Cannot be determined
6.
a)
It's positive
b)
It's negative
c)
It's zero
d)
Cannot be determined
7.
The slope of a function is described by its ____________.
a)
first derivative
b)
second derivative
c)
third derivative
d)
expression
8.
For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.
a)
increasing
b)
decreasing
c)
concave up
d)
concave down
9.
If a function's FIRST derivative is negative at a certain point, what does that tell you?
a)
The function is increasing at that point
b)
The function is decreasing at that point
c)
The concavity of the function is up at that point
d)
The concavity of the function is down at that point
10.
How many extrema are in the picture?
a)
2
b)
3
c)
4
d)
5
11.
a)
A. -1 only
b)
B. 0 only
c)
C. 1 only
d)
D. -1 and 1 only
12.
What is the derivative of
f(x) = x2 - 3x - 28 ?
f(x) = x2 - 3x - 28 ?
a)
2x - 3
b)
2x + 3
c)
x - 3
d)
2x2 - 3x - 28
13.
What is x-value at which the function below has the same slope as the average rate of change over the indicated interval?
f(x) = x2 - 3x - 28, [-4,7]
f(x) = x2 - 3x - 28, [-4,7]
a)
1.5
b)
-1.5
c)
0.5
d)
-0.5
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