Test Questions with Graphs and Functions

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Grade 10 Functions and Relations CCSS: HSF-IF.A.1

Is the following a function? Explain why or why not.

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 10 Systems of Equations CCSS: HSA-REI.C.6

Solve the system of equations by graphing.
`y=1/4x+2`
`y=-x-3`

1. (4, -1)
2. (1, -1)
3. (-4, 1)
4. (4, 4)

Grade 9 Linear Equations CCSS: HSA-REI.D.10

For the graph of the linear equation, the following table was created of values on the line. Choose the correct missing value.

`\ \ \ \ \ \ \ \ \mathbf{x} \ \ \ \ \ \ \ \ `	`\ \ \ \ \ \ \ \mathbf{y} \ \ \ \ \ \ \ `
`-4`	`-2`
`-1`	`-0.5`
`2`
`3`	`1.5`

1. -1
2. 2
3. 4
4. 1

Grade 11 Functions and Relations CCSS: HSF-IF.A.1

The relation graphed below is a function.

1. True
2. False

Grade 9 Functions and Relations CCSS: HSF-LE.A.2

What is the equation of the linear function pictured below? Assume that the horizontal axis represents `x` and the vertical axis `f(x)`.

1. `f(x) = 1/2 x`
2. `f(x) = 2x`
3. `f(x) = x`
4. `f(x) = 1/2x + 1`

Grade 8 Functions and Relations CCSS: 8.F.A.3

Is this graph linear?

1. Yes
2. No
3. Not enough information
4. Sometimes

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.

1. `RR`
2. `{y in RR | y !=0}`
3. `{y in RR | y >=0 }`
4. `{y in RR | y > 0}`

Grade 6 Coordinate Geometry CCSS: 6.NS.C.6, 6.NS.C.6c

Which point is at (-2, -4)?

1. B
2. C
3. D
4. H

Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2

How is the transformation between the two graphs best described?

1. translation
2. rotation
3. reflection
4. reflection and rotation

Grade 8 Functions and Relations CCSS: 8.F.A.3

Is this graph linear?

1. Yes
2. No
3. Not enough information
4. Sometimes

Grade 6 Symmetry and Transformations CCSS: 6.NS.C.6, 6.NS.C.6b

Which point is a reflection of `(7, 6)` across the x-axis?

1. A
2. B
3. C
4. D

Grade 5 Coordinate Geometry CCSS: 5.G.A.2

The line goes through which of the coordinates?

1. (1, 2)
2. (2, 1)
3. (3, 4)
4. (4, 3)

Grade 11 Functions and Relations CCSS: HSF-IF.B.5

What is the domain and range of the graphed function?

1. Domain and range are all real numbers.
2. Domain is all real numbers less than zero and range is all real numbers.
3. Domain is all real numbers and range is all real numbers equal to or less than zero.
4. None of the above.

Grade 7 Line Graphs

The table shows passenger car fuel rates in miles per gallon for several years. Make a LINE GRAPH of the data. During which 2-year period did the fuel rate decrease?

`{:("YEAR:", 2000, 2002, 2004, 2006), ("RATE:", 21.0, 20.7, 21.2, 21.6):}`

1. 2002 - 2004
2. 2004 - 2006
3. 2000 - 2002
4. 2000 - 2004

Grade 10 Functions and Relations CCSS: HSF-IF.C.9

At what values of the domain is the function `f(x)= x-2` less than the function represented in the graph?

1. All real numbers
2. Nowhere
3. `-1 < x < 0`
4. `-2 < x < 1`

Grade 7 Proportional Relationships

What is the slope?

1. Undefined
2. `0`
3. `1`
4. `-1`

Grade 10 Functions and Relations CCSS: HSF-IF.A.1

The graph below shows a function.

1. True
2. False

Grade 9 Functions and Relations CCSS: HSF-LE.A.2

What is the equation of the linear function in the graph? Assume the horizontal axis represents `x` and the vertical axis `f(x)`.

1. `f(x) = -x`
2. `f(x) = -2x`
3. `f(x) = -1/2 x`
4. `f(x) = 1/2 x`

Grade 5 Coordinate Geometry CCSS: 5.OA.B.3

Daniel is shown the coordinate grid with a point plotted.

He must plot a second point on the plane using the following rules:

Start at the plotted point. Subtract 4 from the x-coordinate. Add 5 to the y-coordinate.

Which ordered pair should Daniel plot on the grid?

1. (3, 8)
2. (3, 7)
3. (11, 7)
4. (11, 8)

Grade 9 Linear Equations

What is the slope of this line?

1. positive
2. negative
3. zero
4. no slope