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Math Problems
Algebra 2
Rational functions: asymptotes and excluded values
Find the
x
x
x
- and
y
y
y
-intercepts of the line
2
x
+
16
y
=
14
2 x+16 y=14
2
x
+
16
y
=
14
.
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1
1
1
. Determine the number of turning points
\newline
2
2
2
. estimate any
x
x
x
-intercepts.
\newline
3
3
3
. State whether
a
>
0
a>0
a
>
0
, or
a
<
0
a<0
a
<
0
\newline
4
4
4
. Determine the minimum degree of
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An example of a parameter for the
r
a
n
g
e
range
r
an
g
e
function is
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The function
f
f
f
is defined as
f
(
x
)
=
2
9
−
x
f(x)=2 \sqrt{9-x}
f
(
x
)
=
2
9
−
x
.
\newline
What is the
x
x
x
-coordinate of the point on the function's graph that is closest to the origin?
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The function
f
f
f
is defined as
f
(
x
)
=
2
x
+
3
f(x)=2 x+3
f
(
x
)
=
2
x
+
3
.
\newline
What is the
x
x
x
-coordinate of the point on the function's graph that is closest to the origin?
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The function
f
f
f
is defined as
f
(
x
)
=
2
x
−
3
f(x)=2 x-3
f
(
x
)
=
2
x
−
3
.
\newline
What is the
x
x
x
-coordinate of the point on the function's graph that is closest to the origin?
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Which part of the graph is the
x
x
x
-intercept?
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A circle in the
x
y
xy
x
y
-plane has the equation shown. If the
x
x
x
-coordinate of a point on the circle is
−
3
-3
−
3
, what is a possible corresponding
y
y
y
-coordinate?
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Find the area of the parallelogram
O
P
Q
R
O P Q R
OPQR
. Be sure to include the correct unit in your answer.
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6
6
6
. Graph each horizontal or jerticle
X
=
4
X=4
X
=
4
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The function
f
f
f
is defined as
f
(
x
)
=
3
x
−
2
f(x)=3 x-2
f
(
x
)
=
3
x
−
2
.
\newline
What is the
x
x
x
-coordinate of the point on the function's graph that is closest to the origin?
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egin{aligned} y & ext{ extbackslash leq} \dfrac{
1
1
1
}{
3
3
3
}x
−
3
-3
−
3
\ y & ext{ extbackslash leq}
−
2
-2
−
2
x
−
2
-2
−
2
\end{aligned} 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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A parabola intersects the
x
x
x
-axis at
x
=
3
x=3
x
=
3
and
x
=
9
x=9
x
=
9
.
\newline
What is the
x
x
x
-coordinate of the parabola's vertex?
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How many distinct zeros does the graph have?
\newline
Choose
1
1
1
answer:
\newline
(A) Two
\newline
(B) Three
\newline
(C) Four
\newline
(D) Five
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How many distinct zeros does the graph have?
\newline
Choose
1
1
1
answer:
\newline
(A) Three
\newline
(B) Four
\newline
(c) Five
\newline
(D)
Six
\operatorname{Six}
Six
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What is the excluded value for
y
=
1
x
−
9
−
9
?
y = \frac{1}{x - 9} - 9 ?
y
=
x
−
9
1
−
9
?
\newline
_____
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What is the excluded value for
y
=
1
x
−
9
−
9
y = \frac{1}{x - 9} - 9
y
=
x
−
9
1
−
9
?
\newline
______
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