Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Patrick Jones
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      61.

      62.

       63–77 Solve the given question related to graphing common functions.

      63. What is the slope of the line that goes through the points

and
?

      64. What is the equation of the line that has a slope of 4 and goes through the point

?

      65. What is the equation of the line that goes through the points

and
?

      66. Find the equation of the line that goes through the point

and is parallel to the line
.

      67. Find the equation of the line that goes through the point

and is perpendicular to the line that goes through the points
and
.

      68. What is the equation of the graph of

after you stretch it vertically by a factor of 2, shift the graph 3 units to the right, and then shift it 4 units upward?

      69. Find the vertex form of the parabola that passes through the point

and has a vertex at
.

and has a vertex at
.

      71. A parabola has the vertex form

. What is the vertex form of this parabola if it’s shifted 6 units to the right and 2 units down?

      72. What is the equation of the graph of

after you compress the graph horizontally by a factor of 2, reflect it across the y-axis, and shift it down 5 units?

      73. What is the equation of the graph of

after you stretch the graph horizontally by a factor of 5, reflect it across the x-axis, and shift it up 3 units?

      74. Find the equation of the third-degree polynomial that goes through the points

,
,
, and
.

      75. Find the equation of the fourth-degree polynomial that goes through the point

and has the roots –1, 2, and 3, where 3 is a repeated root.

      76. A parabola crosses the x-axis at the points

and
. If the point
is on the parabola, what is the equation of the parabola?

      77. A parabola crosses the x-axis at the points

and
, and the point
is on the parabola. What is the equation of the parabola?

       78–80 Find the domain and range of the function with the given graph.

      78.

Graph shows y = f(x) to find the the domain and range of the function.

      79.

      80.

Graph shows y = f(x) to find the the domain and range of the function.

      81–82 Find the end behavior of the given polynomial. That is, find mathand math.

      81. math

      82. math

       83–87 Add the given polynomials.

      83. math

      84. math

      85. math

      86. СКАЧАТЬ