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Math Problems
Precalculus
Find the slope of a tangent line using limits
Find the
y
y
y
-intercept of the line y = 8 rac{3}{x} - 20.
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For the function
f
(
x
)
=
−
7
x
2
+
3
x
−
5
f(x)=-7 x^{2}+3 x-5
f
(
x
)
=
−
7
x
2
+
3
x
−
5
, find the slope of the tangent line at
x
=
3
x=3
x
=
3
.
\newline
Answer:
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For the function
f
(
x
)
=
x
2
−
6
f(x)=x^{2}-6
f
(
x
)
=
x
2
−
6
, find the slope of the secant line between
x
=
−
3
x=-3
x
=
−
3
and
x
=
−
1
x=-1
x
=
−
1
.
\newline
Answer:
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For the function
f
(
x
)
=
x
2
−
7
f(x)=x^{2}-7
f
(
x
)
=
x
2
−
7
, find the slope of the secant line between
x
=
−
6
x=-6
x
=
−
6
and
x
=
−
4
x=-4
x
=
−
4
.
\newline
Answer:
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For the function
f
(
x
)
=
x
2
−
4
f(x)=x^{2}-4
f
(
x
)
=
x
2
−
4
, find the slope of the secant line between
x
=
−
4
x=-4
x
=
−
4
and
x
=
−
1
x=-1
x
=
−
1
.
\newline
Answer:
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For the function
f
(
x
)
=
x
2
+
3
f(x)=x^{2}+3
f
(
x
)
=
x
2
+
3
, find the slope of the secant line between
x
=
2
x=2
x
=
2
and
x
=
4
x=4
x
=
4
.
\newline
Answer:
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Which of the following is a correct interpretation of the expression
\newline
−
4
+
13
-4+13
−
4
+
13
?
\newline
Choose
1
1
1
answer:
\newline
(A) The number that is
4
4
4
to the left of
−
13
-13
−
13
on the number line
\newline
(B) The number that is
4
4
4
to the right of
−
13
-13
−
13
on the number line
\newline
(C) The number that is
13
13
13
to the left of
−
4
-4
−
4
on the number line
\newline
(D) The number that is
13
13
13
to the right of
−
4
-4
−
4
on the number line
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