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Test Questions with Graphs and Functions

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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 6 Coordinate Geometry CCSS: 6.NS.C.6, 6.NS.C.6c
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2
How is the transformation between the two graphs best described?
Graph - Linear Function y=1/2x Graph - Linear Function y=2x
  1. translation
  2. rotation
  3. reflection
  4. reflection and rotation
Grade 5 Coordinate Geometry CCSS: 5.G.A.2
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
For the function pictured below, with endpoints at [math]x=0[/math] and [math]x=10[/math], what is the range of this function? Assume 1 unit intervals for both axes.
Graph - Piecewise Random 1
  1. [math]RR[/math]
  2. [math]{y in RR | y >= 0 and y <= 10}[/math]
  3. [math]{y in RR | y >= 0 and y <=4}[/math]
  4. [math]{y in RR | y >= 0}[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Is the following a function? Explain why or why not.
Coordinate Plane - 5x5 - With Dots
  1. Yes, this does represent a function, because all the points are distinct (none of them are coincident).
  2. No, this does not represent a function, since a function can not be made up of only points.
  3. No, this does not represent a function, since it fails the vertical line test.
  4. No, this does not represent a function, since a function is made up of many more points.
Grade 7 Proportional Relationships
What is the slope?
Graph - Linear Function y=x
  1. Undefined
  2. [math]0[/math]
  3. [math]1[/math]
  4. [math]-1[/math]
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 11 Functions and Relations CCSS: HSF-IF.B.4
Grade 9 Linear Equations
What is the slope of this line?
Graph - Linear Function y=-x
  1. positive
  2. negative
  3. zero
  4. no slope
Grade 8 Linear Equations CCSS: 8.EE.B.5
The slope of this graph is
Graph - Linear Function y=1/2x
  1. equal to 1.
  2. greater than 1.
  3. less than 1.
  4. negative.
Grade 8 Functions and Relations CCSS: 8.F.A.2
Which equation has a smaller rate of change than this graph? Graph - Linear Function y=-1/2x
  1. [math]y=-1/3x[/math]
  2. [math]y=-3x[/math]
  3. [math]y=-5/2x-3[/math]
  4. [math]y=-8x[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
What is the domain of the function? Assume 1 unit intervals for both axes.
Graph - Square Root Function y=sqrt x
  1. All real numbers
  2. [math](-oo,0)[/math]
  3. [math] [0, +oo)[/math]
  4. [math](-oo, +oo)[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
What is the range of the absolute value function pictured below? Assume 1 unit intervals for both axes.
Graph - Absolute Function y=|1/2x|
  1. [math]RR[/math]
  2. [math]{y in RR | y !=0}[/math]
  3. [math]{y in RR | y >=0 }[/math]
  4. [math]{y in RR | y > 0}[/math]
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