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WorksheetsFunctions in calc
Total questions: 19
Worksheet time: 10mins
Name
Class
Date
1.
What are the zeros of a function?
a)
where the function crosses the x-axis
b)
where the function crosses the y-axis
c)
when x = 0
d)
when there's a 0 in the denominator
2.
What is the difference between line and point symmetry?
a)
line is always symmetrical across the x-axis
b)
point is always symmetrical across the origin
c)
line is symmetrical across a line on the graph and point is across a point
d)
point symmetry only happens in lines
3.
What is a characteristic of an odd function?
a)
end behavior is the same for both ends
b)
end behavior is different for both ends
c)
f(x)=f(-x)
d)
f(x) is always negative
4.
What is a characteristic of an even finction
a)
f(x) = 0
b)
it's always positive
c)
end behavior is different for both ends
d)
end behavior is the same for both ends
5.
True or false:
A continuous function has a removable discontinuity.
A continuous function has a removable discontinuity.
a)
true
b)
false
6.
True or False: If a function has a jump discontinuity it is always removable.
a)
true
b)
false
7.
True or False: the limit of a function is the value it approaches from both the positive and the negative sides. For a limit to exist, both values must be the same.
a)
true
b)
false
8.
True or False: If a function has a removable discontinuity then the limit cannot exist.
a)
true
b)
false
9.
If a function is decreasing on an interval, the slope is
a)
positive
b)
negative
c)
zero
d)
undefined
10.
If a function is increasing on a interval, the slope is
a)
negative
b)
zero
c)
positive
d)
undefined
11.
True or False: The slope of a constant function is always zero.
a)
true
b)
false
12.
What is another way to think about the average rate of change on an interval?
a)
the slope of a tangent line at a point
b)
the slope of the secant line between 2 points
c)
zero
d)
it's not possible to find an average rate of change
13.
True or False: Every graph has an absolute maximum or minimum.
a)
true
b)
false
14.
What is a critical point on a graph?
a)
a discontinuity
b)
where the graph has a horizontal or vertical tangent
c)
the origin
d)
the end behavior
15.
Which asymptotes are determined by looking at the denominator of a function?
a)
vertical
b)
horizontal
c)
slant
d)
none
16.
If a function factors to the following:
(x-3)3(x+2)(x-1)
What do you know about the graph of the function?
(x-3)3(x+2)(x-1)
What do you know about the graph of the function?
a)
It has all imaginary roots
b)
It has no real roots
c)
It has 3 roots, and one has a multiplicity 3
d)
I know nothing about the graph by looking at these factors
17.
How do you find the maximum possible number of rational zeros of a function?
a)
Guess
b)
Look at the asymptotes
c)
Count the sign changes for f(x) and f(-x)
d)
Set the denominator equal to 0
18.
Find the vertical asymptotes for the following function:
a)
x = 5
b)
x = -5
c)
x = 0
d)
x = 5, x = -5
19.
Solve the following equation:
a)
no solution
b)
3, 4
c)
-2, 2
d)
-2, 2, 3, 4
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