Unit 5 Mid-Unit Review

Kinds of Functions

100

In a function, how many outputs should each input have?

No more than 1

200

Does the following table show a function? Why or why not?

Input             Output

4                    7

2                    -3

4                     2

No, the input of 4 produces 2 different outputs (7 and 2).

300

Does the following table show a linear or non-linear relationship?

Input     Output

-2          7

-1          4

0           9

1           2

Non-linear

400

Does the following table show a linear or non-linear relationship?

Input     Output

-2          -1

-1          1

0           3

1           5

Linear

500

The following table shows a car's distance from home and the amount of time it has been driving. Was the car driving at a constant speed? Why?

Time (hours)            Distance (miles)

0                             0

1                             45

2                             90

3                             120

No, the car went 45 miles per hour for the first 2 hours, then slowed to 30 miles per hour (or similar explanation)

Inputs and Outputs

100

If the rule of a function is "add 3, then multiply by 2," what would the output be for an input of 4?

14

200

If the rule of a function is "divide by 3, then add 5," what would the output be for an input of 18?

11

300

Fill in the blanks for the following input/output table?

Input           Output

1                 7

5                 11

-2                ___

___              19

Input           Output

1                 7

5                 11

-2                4

13               19

400

The table below shows the temperature in a city in x hours after 12:00 PM. When was the temperature the highest?

Hours            Temp (F)

0                   73

4                   68

1                   76

3                   75

2                   71

1:00 PM

500

What is the rule for the following function?

Input     Output

1            7

2            9

3            11

4            13

5            15

Multiply by 2, then add 5.

Writing Equations

100

Write an equation in slope-intercept form for a line with a y-intercept of 2 and a slope of 3.

y = 3x + 2

200

Write an equation in slope-intercept form for a line with a y-intercept of -6 and a slope of 2.

y = 2x - 6

300

The equation for a horizontal line that crosses through point (6,-28)

y = -28

400

The equation of a vertical line passing through the point (5, -8).

x = 5

500

To open a cellular plan, AT&T charges you 40 dollars per month along with a one-time 70 dollar fee to start service. Write a function (equation) that demonstrates how much you would get charged for x months of service.

y = 40x + 70

Solving Equations

100

Solve the following equation:

x + 5 = -2

x = -7

200

Solve the following equation:

3x - 6 = 0

x = 2

300

Solve the following equation:

3x + 2x - 5 = 15

x = 4

400

Solve the following variable for y (y should be by itself):

5x + y = -3

y = -5x - 3

OR

y = -3 - 5x

500

Solve the following variable for y (y should be by itself):

-4x + 2y = 12

y = 2x + 6