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Math Problems
Algebra 1
Rational functions: asymptotes and excluded values
Vhat is the
y
y
y
-intercept of the line in the
x
y
x y
x
y
-plane?
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What are the midline and amplitude of this function?
\newline
What is the period of the function?
\newline
Write an equation of a function that has this graph.
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Question
\newline
What is the length of the hypotenuse in the triangle shown below?
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\begin{tabular}{cc}
\newline
x
x
x
&
y
y
y
\\
\newline
\hline
−
28
-28
−
28
&
−
54
-54
−
54
\\
\newline
−
21
-21
−
21
&
−
40
-40
−
40
\\
\newline
−
14
-14
−
14
&
−
26
-26
−
26
\newline
\end{tabular}
\newline
What is the
y
y
y
-intercept of the line?
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What system of linear equations does the graph show?
\newline
Write the equations in slope-intercept form.
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DIGDEEPER The table shows the donation amounts received by a charity in one day.
\newline
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\newline
\hline \multicolumn{
10
10
10
}{|c|}{ Donations (dollars) } \\
\newline
\hline
20
20
20
&
15
15
15
&
40
40
40
&
70
70
70
&
20
20
20
&
5
5
5
&
25
25
25
&
50
50
50
&
47
47
47
&
20
20
20
&
62
62
62
&
55
55
55
&
40
40
40
\\
\newline
\hline
10
10
10
&
50
50
50
&
18
18
18
&
20
20
20
&
100
100
100
&
40
40
40
&
80
80
80
&
60
60
60
&
20
20
20
&
80
80
80
&
3
3
3
&
30
30
30
&
50
50
50
\\
\newline
\hline
25
25
25
&
30
30
30
&
10
10
10
&
33
33
33
&
20
20
20
&
50
50
50
&
7
7
7
&
35
35
35
&
40
40
40
&
25
25
25
&
70
70
70
& & \\
\newline
\hline
\newline
\end{tabular}
\newline
a. Make a histogram of the data starting with the interval
0
0
0
−
14
-14
−
14
. Describe the shape of the distribution.
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Google Classroom
\newline
What is the slope of the line shown?
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Graph the inverse of the provided graph on the accompanying set of axes. You must plot at least
5
5
5
points. Click the graph to make a point. Click it again to erase.
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n
\newline
Question
\newline
Show Examp
\newline
Graph the inverse of the provided graph on the accompanying set of axes. You must plot at least
5
5
5
point
\newline
Click the graph to make a point. Click it again to erase.
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Which rule describes the relationship between the
x
x
x
- and
y
y
y
-coordinates on the following graph?
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Find the volume of revolution shown on the right by rotating the area shown on the left about the
x
x
x
-axis. Use the disk method.
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What is the measure of angle
J
\mathrm{J}
J
in the triangle below? Drawing is not to scale,
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What is the slope of the line represented by the equation
y
=
m
x
+
b
y = mx + b
y
=
m
x
+
b
?
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Analyze the data represented in the graph and select the appropriate model.
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The graph in the
x
y
xy
x
y
-plane models the global wind power capacity,
y
y
y
, in gigawatts,
x
x
x
years since
2000
2000
2000
. What is the best interpretation of the
y
y
y
-intercept of this graph?
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5
5
5
. The figure shown below is an isosceles trapezoid. The two sides that are not parallel have the same length. How could you add this shape to the Venn diagram?
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X
−
2
y
≥
0
X-2y\geq0
X
−
2
y
≥
0
x
+
2
y
≤
4
x+2y\leq4
x
+
2
y
≤
4
In which of the following does the shaded region represent the solution set in the
x
y
xy
x
y
-plane to the system of inequalities?
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Graph the linear equation.
\newline
3
x
−
2
y
=
12
3 x-2 y=12
3
x
−
2
y
=
12
\newline
Use the graphing tool to graph the linear equation
\newline
Click to enlarge graph
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The line represented by the equation
3.4
y
=
0
3.4y = 0
3.4
y
=
0
is graphed in the
x
y
xy
x
y
-plane. Which of the following statements correctly describes the graph of the line?
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What is the equation of the vertical asymptote of
y
=
1
x
+
9
y = \frac{1}{x + 9}
y
=
x
+
9
1
? _____
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