Common Core Algebra Unit 6: Linear Functions 12/7/16Review StationsObjective: SWBAT apply knowledge of Unit 6 topics to prepare for the exam.1. Define the Following Terms:

Function:_________________________________________________________________________________

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Domain:__________________________________________________________________________________

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Range:___________________________________________________________________________________

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Station 1: Identifying FunctionsDetermine if each relation is a function. Justify your response by explaining your reasoning.1. Which graph does not represent a function?

a) c)

b) d)

Explain how you arrived at your answer:___________________________________________

___________________________________________

___________________________________________

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2. Given the relation . Which replacement for a makes this relation a function?1) 12)3) 04) 4

Explain how you arrived at your answer:___________________________________________

___________________________________________

___________________________________________

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3. The function f has a domain of and a range of . Could f be represented by

? Justify your answer.___________________________________________

___________________________________________

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4. Which table represents a function?1)

2)

3)

4)

5. On the accompanying diagram, draw a mapping of a relation from set A to set B that is not a function. Explain why the relationship you drew is not a function.

Station 2: Standard to Slope Intercept Form1. What is the slope of a line represented by the equation ?1) 12)

3)4)

2. What is the slope of the line whose equation is ?

1) 52) 23)

4)

3. The line represented by the equation has a slope of1)

2) 23) 34)

4. What is the slope of the linear equation ?

1) 102) 23)4)

5. What is the slope of the line whose equation is ?

1)

2)

3) 34)

6. Which linear equation represents a line that has a

slope of ?1)2)3)4)

7. Write the equation of the line in slope intercept form.

Station 3: Determining the Slope Given a Graph or Two Points

1. The data in the table below are graphed, and the slope is examined.

The rate of change represented in this table can be described as1) negative2) positive3) undefined4) zero

2. If the value of dependent variable y increases as the value of independent variable x increases, the graph of this relationship could be a1) horizontal line2) vertical line3) line with a negative slope4) line with a positive slope

3. What is the slope of the line that passes through the points and ?1)

2)

3)

4) 5

4. What is the slope of a line passing through points and ?

1)

2)

3)

4)

6. What is the slope of line in the accompanying diagram?

1)

2)

3)

4)

7. What is the slope of line shown in the accompanying diagram?

1)

2)

3)

4)

Station 4: Horizontal and Vertical Lines

1. The accompanying figure shows the graph of the equation .

What is the slope of the line ?

2. What is an equation of the line that passes through the points and ?1)2)3)4)

3. Write the equation of a horizontal line that passes through the point (-3, 4).

4. Write the equation of a vertical line that passes through the point (-6, -2).

5. What is the slope of a line that passes through the points (-3,4) and (-3, 9).

6. The graph of the equation is a line1) parallel to the x-axis2) parallel to the y-axis3) passing through the origin4) passing through the point

Station 5: Equations of Parallel and Perpendicular Lines

1. Which equation represents a line parallel to the x-axis?1)2)3)

4)

2. Which equation represents a line that is parallel to the y-axis?1)2)3)4)

3. Which equation represents a line that is parallel to the line ?1)2)

3)

4)

4. Which equation represents a line that is parallel to the line whose equation is ?1)2)3)4)

5. Which pair of linear equations represents parallel lines?1)

2)

3)

4)

6. What is an equation of the line that passes through the point and is perpendicular to the line whose

equation is ?

7. The equation of line k is . The equation of line m is . Determine if ines k and m are parallel perpendicular or neither.

Station 6: Graphing Linear Functions

Station 7: Domains and Ranges

1. The effect of pH on the action of a certain enzyme is shown on the accompanying graph.

What is the domain of this function?1)2)3)4)

2. The graph of the function is shown below.

The domain of the function is1)2)3)4)

3. Graph the function y = 2x -10 with a domain 0 < x < 4. State the range of the function in interval notation and inequality notation.

4. Graph the function y = -x with a domain -4 < x < 2. State the range of the function in interval notation and inequality notation.

Station 8: Determining a Solution to a Linear Function

1. Which linear equation represents a line containing the point ?1)2)3)4)

2. Which point lies on the line whose equation is ?

1)2)3)4)

3. Which point is on the line ?1)2)3)4)

4. Which point lies on the graph represented by the equation ?1)2)3)4)

5. The graph of the equation passes through point . What is the value of x?1)2) 83) 164) 4

6. The graph of a linear equation contains the points and . Which point also lies on the graph?

1)2)3)4)

7. On the set of axes below, draw the graph of the equation .

Is the point a solution to the equation? Explain your answer based on the graph drawn.