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Graphing Functions: Classroom Packet

Grade 8 Algebra: Graphing Functions

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Linear functions

Directions: Plot at least three points and draw each function on the grid. Each grid step is one unit.

  1. 1.
    y=1xy = 1x
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  2. 2.
    y=1x+2y = 1x + 2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  3. 3.
    y=2xy = 2x
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  4. 4.
    y=2x−1y = 2x - 1
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  5. 5.
    y=3y = 3
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  6. 6.
    y=1x−2y = 1x - 2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  7. 7.
    y=−1xy = -1x
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  8. 8.
    y=−1x+2y = -1x + 2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy

Answer Key

Level 1

  1. 1. Through (0,0),(2,2)\text{Through }(0, 0), (2, 2)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  2. 2. Through (0,2),(2,4)\text{Through }(0, 2), (2, 4)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  3. 3. Through (0,0),(2,4)\text{Through }(0, 0), (2, 4)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  4. 4. Through (0,−1),(2,3)\text{Through }(0, -1), (2, 3)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  5. 5. Through (0,3),(2,3)\text{Through }(0, 3), (2, 3)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  6. 6. Through (0,−2),(2,0)\text{Through }(0, -2), (2, 0)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  7. 7. Through (0,0),(2,−2)\text{Through }(0, 0), (2, -2)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  8. 8. Through (0,2),(2,0)\text{Through }(0, 2), (2, 0)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy

Grade 8 Algebra: Graphing Functions

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Negative and fractional slopes

Directions: Plot at least three points and draw each function on the grid. Each grid step is one unit.

  1. 1.
    y=−2x+1y = -2x + 1
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  2. 2.
    y=0.5xy = 0.5x
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  3. 3.
    y=−0.5x+2y = -0.5x + 2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  4. 4.
    y=1.5x−1y = 1.5x - 1
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  5. 5.
    y=−1x−2y = -1x - 2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  6. 6.
    y=0.5x−3y = 0.5x - 3
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  7. 7.
    y=−1.5x+1y = -1.5x + 1
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  8. 8.
    y=2x−3y = 2x - 3
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy

Answer Key

Level 2

  1. 1. Through (0,1),(2,−3)\text{Through }(0, 1), (2, -3)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  2. 2. Through (0,0),(2,1)\text{Through }(0, 0), (2, 1)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  3. 3. Through (0,2),(2,1)\text{Through }(0, 2), (2, 1)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  4. 4. Through (0,−1),(2,2)\text{Through }(0, -1), (2, 2)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  5. 5. Through (0,−2),(2,−4)\text{Through }(0, -2), (2, -4)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  6. 6. Through (0,−3),(2,−2)\text{Through }(0, -3), (2, -2)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  7. 7. Through (0,1),(2,−2)\text{Through }(0, 1), (2, -2)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  8. 8. Through (0,−3),(2,1)\text{Through }(0, -3), (2, 1)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy

Grade 8 Algebra: Graphing Functions

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Linear and nonlinear functions

Directions: Plot at least three points and draw each function on the grid. Each grid step is one unit.

  1. 1.
    y=x2y=x^2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  2. 2.
    y=∣x∣y=|x|
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  3. 3.
    y=x2−2y=x^2-2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  4. 4.
    y=−x2+3y=-x^2+3
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  5. 5.
    y=−0.5x+1y = -0.5x + 1
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  6. 6.
    y=∣x∣−2y=|x|-2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  7. 7.
    y=(x−1)2y=(x-1)^2
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  8. 8.
    y=1x+3y = 1x + 3
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy

Answer Key

Level 3

  1. 1. Points: (−1,1),(0,0),(1,1)\text{Points: }(-1, 1), (0, 0), (1, 1)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  2. 2. Points: (−1,1),(0,0),(1,1)\text{Points: }(-1, 1), (0, 0), (1, 1)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  3. 3. Points: (−1,−1),(0,−2),(1,−1)\text{Points: }(-1, -1), (0, -2), (1, -1)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  4. 4. Points: (−1,2),(0,3),(1,2)\text{Points: }(-1, 2), (0, 3), (1, 2)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  5. 5. Through (0,1),(2,0)\text{Through }(0, 1), (2, 0)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  6. 6. Points: (−1,−1),(0,−2),(1,−1)\text{Points: }(-1, -1), (0, -2), (1, -1)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  7. 7. Points: (−1,4),(0,1),(1,0)\text{Points: }(-1, 4), (0, 1), (1, 0)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy
  8. 8. Through (0,3),(2,5)\text{Through }(0, 3), (2, 5)
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    −5-5
    −4-4
    −3-3
    −2-2
    −1-1
    11
    22
    33
    44
    55
    xx
    yy