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Laabri

Unit 4 Test Review!

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50 Nsɛmmisa

Graph the function with the given domain. Then identify the range and determine if the function is discrete or continuous.

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

y = 2x - 3, Domain: {x: -2 < x < 2}

Graph it!

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

y = 2x - 3, Domain: {x: -2 < x < 2}

Range? Write your answer using Set Builder Notation.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

y = 2x - 3, Domain: {x: -2 < x < 2}

Discrete or continuous?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

2x + y = 1, Domain: {x: x > -1}

Graph it!

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

2x + y = 1, Domain: {x: x > -1}

Range? Write your answer using Set Builder Notation.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

2x + y = 1, Domain: {x: x > -1}

Discrete or continuous?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

y = -x + 2, Domain: {-4, -2, 0, 2, 4}

Graph it!

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

y = -x + 2, Domain: {-4, -2, 0, 2, 4}

Range? Write your answer using Set Builder Notation.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Is this relation discrete or continuous?

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10.

Write a rule for the function represented by the graph.

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11.

Identify the domain. Write your answer in Set Builder Notation.

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12.

Identify the range. Write your answer in Set Builder Notation.

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13.

Find the x-intercept of the equation by graphing (using the Desmos calculator). Write your answer as an ordered pair.

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14.

Find the y-intercept of the equation by graphing (using the Desmos calculator). Write your answer as an ordered pair.

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15.

Use the slope formula to find the slope of a line that passes through the points.

(-4, 3) and (7, 5)

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16.

Use the slope formula to find the slope of a line that passes through the points.

(1, 2) and (-2, 2)

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17.

Use the slope formula to find the slope of a line that passes through the points.

(-2, -1) and (2, -6)

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18.

Use the slope formula to find the slope of a line that passes through the points.

(4, -1) and (4, 3)

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19.

The table shows the amount of money spent by a household on plants for certain years. Find the rate of change between 2005 and 2007.

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20.

The table shows the amount of money spent by a household on plants for certain years.

What does a negative rate of change mean in this situation from Number 19?

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21.

Find the slope of the equation:

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22.

Find the y-intercept of the equation:

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23.

Use the slope and y-intercept to graph the equation.

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24.

Write the equation in slope intercept form with the given information:

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25.

Write the equation of the line in slope intercept form with the given information:

Show your work in the box below.

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26.

Write the equaiton of the line in slope intercept form with the given information:

Show your work in the box below.

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27.

Write an equation in slope intecept form for a linear function f(x) that has the given values.

Hint: What are the two points?

Show your work in the box below.

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28.

Write an equation in point-slope form of the line that passes through the given point and has a given slope m.

(2, 1), m = 2

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29.

Write an equation in point-slope form of the line that passes through the given point and has a given slope m.

(7, -1), m = -6

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30.

Write an equation in point-slope form of the line that passes through the given point and has a given slope m.

(-8, 2), m = 5

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31.

Write an equation in point-slope form of the line that passes through the given point and has a given slope m.

(-11, -3), m = -9

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32.

Graph the equation on the graph below:

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33.

Write the equation of the line in point-slope form.

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34.

Write an equation of the line in point-slope form that passes through the given points. SHOW YOUR WORK IN THE BOX BELOW.

(-4, -1), (6, -7)

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35.

Write the equation of the given line in slope-intercept form.

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36.

Write the equation of the given line in standard form.

***Remember that standard form can only have integer coefficients!!

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37.

Write the equation of the line that passes through the two given points in point-slope form.

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38.

Write the equation of the line that passes through the two given points in slope-intercept form.

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39.

Write the equation of the line that passes through the two given points in standard form.

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40.

Graph the equation of the line that has an x-intercept of -5 and a y-intercept of 1

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41.

Graph the equation of the line.

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42.

What is the slope of a line parallel to the line formed by the equation?

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43.

What is the equation of the line parallel to the line formed by the equation and passes through the point (2, 4)?

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44.

What is the slope of the line perpendicular to the line formed by the equation?

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45.

What is the equation of the line perpendicular to the line formed by the equation that passes through the point (2, 4)?

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46.

Find the line of best fit with the Desmos graphing calculator. Round to the nearest tenth on your slope and intercept.

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47.

Given the equation above, what would you expect the breaking distance to be at a speed of 30 miles an hour?

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48.

Is that interpolation or extrapolation?

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49.

Given the equation above, what would you expect the speed to be when the breaking distance is 10?

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50.

Is that interpolation or extrapolation?