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Common Core Standard 8.F.A.3 Questions

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

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Grade 8 Functions and Relations CCSS: 8.F.A.3
Which is NOT a linear function?
  1. f(x)=4+x
  2. f(x)=-x-4
  3. f(x)=4x2
  4. f(x)=14x
Grade 8 Functions and Relations CCSS: 8.F.A.3
Is this graph linear?
Graph - Linear Function y=-2x
  1. Yes
  2. No
  3. Not enough information
  4. Sometimes
Grade 8 Functions and Relations CCSS: 8.F.A.3
Is this graph linear?
Graph - Quadratic Function y=-1/2x^2
  1. Yes
  2. No
  3. Not enough information
  4. Sometimes
Grade 8 Functions and Relations CCSS: 8.F.A.3
Is this graph linear?
Graph - Linear Function y=-1/2x
  1. Yes
  2. No
  3. Not enough information
  4. Sometimes
Grade 8 Functions and Relations CCSS: 8.F.A.3
Is this graph linear?
Graph - Linear Function y=x
  1. Yes
  2. No
  3. Not enough information
  4. Sometimes
Grade 8 Functions and Relations CCSS: 8.F.A.3
Is this graph linear?
Cos 4X
  1. Yes
  2. No
  3. Not enough information
  4. Sometimes
Grade 8 Functions and Relations CCSS: 8.F.A.3
Is this graph linear?
Tan 4X
  1. Yes
  2. No
  3. Not enough information
  4. Sometimes
Grade 8 Functions and Relations CCSS: 8.F.A.3
The equation y=-2x2+2 is
  1. linear.
  2. nonlinear.
  3. not a function.
  4. both b and c.
Grade 8 Functions and Relations CCSS: 8.F.A.3
The equation y=-15x+13 is
  1. linear.
  2. nonlinear.
  3. not a function.
  4. both b and c.
Grade 8 Functions and Relations CCSS: 8.F.A.3
The equation x=-3 is
  1. linear.
  2. nonlinear.
  3. not a function.
  4. both a and c.
Grade 8 Functions and Relations CCSS: 8.F.A.3
The equation y=3x+4 is
  1. linear.
  2. nonlinear.
  3. not a function.
  4. both b and c.
Grade 8 Functions and Relations CCSS: 8.F.A.3
The equation 1-3x2-y=2x-3+2y is
  1. linear.
  2. nonlinear.
  3. not a function.
  4. both a and c.
Grade 8 Functions and Relations CCSS: 8.F.A.3
The equation y=6 is
  1. linear.
  2. nonlinear.
  3. not a function.
  4. both a and c.
Grade 8 Functions and Relations CCSS: 8.F.A.3
The equation 6x-y=x-12 is
  1. linear.
  2. nonlinear.
  3. not a function.
  4. both b and c.
Grade 8 Functions and Relations CCSS: 8.F.A.3
The equation x+5+7y=12+7y is
  1. linear.
  2. nonlinear.
  3. not a function.
  4. both a and c.

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