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Coordinate Algebra (CCGPS) EOCT Quiz Answer KeyFunctions - (MCC9‐12.F.IF.1) Understand Functions, (MCC9‐12.F.IF.2 ) Function Notation, (MCC9‐12.F.IF.3 ) Recognize Sequences,

(MCC9‐12.F.IF.4 ) Interpret Features, (MCC9‐12.F.IF.6 ) Calculate And Interpret, (MCC9‐12.F.IF.7 ) Graph Functions, (MCC9‐12.F.IF.7a

) Linear Functions, (MCC9‐12.F.IF.7e ) Exponential Functions, (MCC9‐12.F.BF.1a ) Explicit Expression, (MCC9‐12.F.BF.1b ) Combine

Functions, (MCC9‐12.F.LE.2 ) Linear And Exponential Functions, (MCC9‐12.F.LE.5 ) Interpret Parameters

Student Name: _______________________ Date: _________Teacher Name: Micah Shue Score: _________

1 ) Which set is a function?

A) {(0,3), (3,0), (0,4), (4,0)}

B) {(0 ,2 ), (2 ,0 ), (4 ,6 ), (6 ,4 )}

C) {(2,6), (3,6), (4,6), (2,0)}

D) {(0,4), (0,9), (12,6), (-3,9)}

Explanation :

The correct answer is {(0 ,2 ), (2 ,0 ), (4 ,6 ), (6 ,4 )} . A function can only have one x variable for every y variable. In this set there is

only one x for every y. Or in other words the x variable doesn’t repeat.

2 ) Which set of ordered pairs does NOT represent a function?

A) (0 , 1 ), (2 , 2 ), (4 , 8 ), (2 , 7 ), (5 , 8 ), (7 , 9 )

B) (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)

C) (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)

D) (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)

Explanation :

The solution is (0 , 1 ), (2 , 2 ), (4 , 8 ), (2 , 7 ), (5 , 8 ), (7 , 9 ). You can see that the x-value of 2 occurs twice. Once in point (2,2) and

again in point (2,7). Therefore, the set of ordered pairs does NOT represent a function. In a function for each input there is exactly one

output.



3 )

Which graph does NOT represent a function?

A)

B)

C)

D)

Explanation :

Solution: B . The graph shown in choice B is a vertical line with the equation x = 3. Vertical line graphs are not functions because

there is more than one output for each input.

4 )

x y

0 3

1 1

2 -1

Using the table, what is the value for the RANGE when the DOMAIN is 2?

A) -1

B) 1

C) 2

D) 3

Explanation :

The value for the range when the domain is 2 is -1 . On the table, the y-value that corresponds with x-value of 2 is -1.



5 )

x y

2 2

3 4

4 6

5 8

Which set of values in the RANGE corresponds to the set {2,4,5} in the DOMAIN?

A) {2,4,5}

B) {2,4,6}

C) {2 ,6 ,8 }

D) {4,6,8}

Explanation :

The set of values in the range that correspond to {2,4,5} is {2 ,6 ,8 } . Using the table, the y-value that corresponds with 2 is 2, the y-

value that corresponds with 4 is 6, and the y-value that corresponds with 5 is 8.

6 )

{(3 ,2 ) , (-6 ,2 ) , (7 ,3 ) , (8 ,4)}

What is the range of this function?

A) {2 , 3 , 4 }

B) {7, 3, 8, 4}

C) {3, -6, 7, 8}

D) {3, 2, -6, 2}

Explanation :

The correct answer is {2 , 3 , 4 } . The range values correspond to the y-values in the ordered pairs. The 2 should be only listed once in

the solution set.

7 ) When rewriting y = 2x + 1 in function notation, what do you replace with f(x)?

A) 1

B) 2

C) x

D) y

Explanation :

For function notation you are saying that you have a relation that is a function of another variable. To correctly rewrite using

function notation you replace y with f(x).



8 )

n an

1 2

2 3

3 5

4 9

5 17

Look at the sequence in the table. Which recursive formula represents the sequence shown?

A) an = an-1 + 1

B) an = 3an-1 - 3

C) an = 2 an- 1 - 1

D) an = an-1 + 8

Explanation :

The solution is an = 2 an- 1 - 1 . To get the next term in the sequence, we multiply the current term by 2 and subtract 1.

9 ) 2, 3, 5, 9, 17...

How does each term relate to the previous term?

A) Add 1.

B) Multiply by 3 and subtract 3.

C) Mul tipl y by 2 and subtract 1 .

D) Square each number and subtract 1.

Explanation :

To get from one term to the next, mul tipl y by by 2 and then subtract 1 .

10 ) What is the y-intercept of y = 2

3x + 2?

A) (2, 3)

B) (3, 2)

C) (0 , 2 )

D) (-3, 0)

Explanation :

(0 , 2 ) is the y-intercept. When x = 0, y = 2.



11 )

f(x) = x2 - 5

For the function shown, what is the range of the function when the domain is {2, 4, 7}?

A) {-1, 44}

B) {-1, -5}

C) {6, 21, 54}

D) {-1 , 11 , 44 }

Explanation :

The solution is {-1 , 11 , 44 } . To find the corresponding range values, plug each value into the function f(x) = x2 - 5.

12 )

Which is the MOST reasonable estimate of the x-intercept for this linear graph?

A) 0 .6

B) 1.5

C) 1.8

D) 2.2

Explanation :

From looking at the graph, you should see that the line crosses the x-axis between 0 and 1. Therefore choose the answer that falls

in that range, 0 .6 .



13 )

Determine the domain of the graphed exponential function.

A) (-∞, ∞)

B) (-∞, 5]

C) (-∞, 5)

D) (-5, ∞)

Explanation :

The correct answer is (-∞, ∞). The domain of all exponential functions is all real numbers. Exponential functions only have

horizontal asymptotes, they do not have any vertical asymptotes.

14 ) What is the x-intercept of y = 2

3x + 2?

A) (2, 3)

B) (3, 2)

C) (0, 2)

D) (-3 , 0 )

Explanation :

(-3 , 0 ) is the x intercept. When y = 0, x = -3. Set the equation equal to 0 and solve for x.



15 )

Determine the coordinates of the x-intercept of the function shown in the graph.

A) (-6, 0)

B) (-2 , 0 )

C) (0, -2)

D) (0, -6)

Explanation :

The solution is (-2 , 0 ). You can determine the x-intercept by first writing the equation of the line in the form y = mx + b. The

equation of the line is y = -3x - 6. Now plug in 0 for y and solve for x. So, the x-intercept is -2.

16 )

The graph represents Jason's speed on a recent trip. For which time period is his rate of change negative?

A) between 0 and 5 minutes

B) between 5 and 10 minutes

C) between 10 and 20 minutes

D) between 2 0 and 2 5 minutes

Explanation :

The solution is between 2 0 and 2 5 minutes . During this period of time Jason's speed is decreasing. This can be seen by looking

at the negative slope of the graph.



17 ) A ramp slopes from a warehouse door down to the street. The height of the ramp is 5 feet, and the ramp ends 10 feet from the

base of the warehouse. What is the slope of the ramp?

A)2

1

B)1

2

C)5

1

D)3

4

Explanation :

Slope is rise over run, the rise is height and run is length horizontally; so the slope of this ramp is 5

10 =

1

2.

18 ) Which graph represents the equation y = 1

2x + 3 ?

A)



B)

C)



D)

Explanation :

Solution: A . The graph for choice A has a slope of 1

2 and a y-intercept of 3.

19 ) Given: m = 1

2 and b = 4

The slope and y-intercept for a linear equation are given. Which graph matches this information?

A)



B)

C)



D)

Explanation :

Since the slope is 1

2 and the y-intercept is 4, we can conclude that the equation is y =

1

2x + 4. The graph crosses the y-axis at positive

4 and has a positive slope of 1

2. This is shown in graph C .

2 0 ) Which of the lines graphed has a slope of 1 and a y-intercept of -3?

A)



B)

C)



D)

Explanation :

Locate -3 on the y-axis. From there go up one and to the right one since the slope is 1 or 1

1. The correct graph is graph C .



2 1 )

Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown.

Which choice supports the graph that she has drawn.

A) The slope is positive 1

2 and the y-intercept is (0,3).

B) The slope is negative 1

2 and the y -in tercept is (0 ,3 ).

C) The slope is positive 1

2 and the y-intercept is (0,-3).

D) The slope is negative 1

2 and the y-intercept is (0,-3).

Explanation :

The correct answer The slope is negative 1

2 and the y -in tercept is (0 ,3 ). Since the graph decreases from the left to right it

has negative slope. Heather plotted the point (0, 3) on the y-axis for her y-intercept.

2 2 ) Find the y-intercept of y = 4x - 64.

A) (0, 3)

B) (0 , -63 )

C) (0, -1.290)

D) There is no y-intercept.

Explanation :

The correct answer is (0 , -63 ). Plug in 0 for x and solve for y. so 40 - 64 = y. Remember anything raised to the 0 power is 1. Then 1 -

64 = y so y = -63.



2 3 )

Given that f(x) = 2x, choose the correct formula for g(x).

A) g(x) = -2x

B) g(x) = (-2)x

C) g(x) = 1

2

x

D) g(x) = -1

2

x

Explanation :

g(x) = 1

2

x is correct. Since g is the reflection of f in the y-axis, we get g(x) = 2-x, or (2-1)x, which equals the answer.

2 4 )

2, 11, 20, 29, 38, 47, 56,...

Jane is given this sequence and is asked to write the definition. Which definition describes the sequence.

A) You add 9 to every term to find the sequence.

B) The first term is 2 and every term after the first is 9 more than the first term.

C) The f irst term is 2 and every term after the f irst is 9 more than the preceding term.

D) The first term is 56 and every term after the first term is 9 less than the preceding term.

Explanation :

The correct answer is The f irst term is 2 and every term after the f irst is 9 more than the preceding term. You have

to start with the number on the left so the first term is 2 and then determine how much you added between each term which is 9.

You add that to the preceding term. If you added to the first term your sequence would not get above 11.



2 5 ) If f(x) = 2x3 - 4x2 + 2, and

g(x) = x3 - 2x2 - 2x + 4,

then f(x) - g(x) =

A) x3 - 2x2 + 2x - 2

B) x3 - 6x2 - 2x - 2

C) x3 - 2x2 - 6x - 2

D) 3x3 + 6x2 - 6x - 6

Explanation :

2x3 - 4x2 + 2 - x3 + 2x2 + 2x - 4 =

x3 - 2x2 + 2x - 2

2 6 ) If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =

A) 2x3 - 2x2

B) -6x3 + 4x2

C) -3x4 - 6x3 + 4x2

D) 3x4 + 2x3 - 2x2

Explanation :

-3x4 + 3x4 - 2x3 - 4x3 + 3x2+ x2 = -6x3 + 4x2

2 7 )

Which situation matches the graph shown?

A) Jimmy has a summer job, he picks blueberries. He makes $2 a day plus $5 for every 10 pounds picked.

B) Jimmy has a summer job, he picks blueberries. He makes $2 a day minus $5 for every 10 pounds picked.

C) Jimmy has a summer job, he picks blueberries. He makes $ 5 a day plus $ 2 for every 10 pounds picked.

D) Jimmy has a summer job, he picks blueberries. He makes $5 a day minus $2 for every 10 pounds picked.

Explanation :

Jimmy has a summer job, he picks blueberries. He makes $ 5 a day plus $ 2 for every 10 pounds picked.



2 8 )

Jonathan and Sarah purchased a beach house for $10,000,000. The home appreciates at a rate of 3% per year. The appreciation of

the house is shown in the graph. The home is currently worth about $13,000,000. Jonathan and Sarah have owned the home for

about ______ years.

A) 7

B) 9

C) 10

D) 11

Explanation :

The solution is 9 years. We can determine this by looking at the graph or by using the calculation shown.

V = 10,000,000(1.03)9

V = $13,047,731.84



2 9 ) Scientists have determined that a certain bacteria, with an initial population of 200, triples every hour. Which table effectively

models this situation?

A)

B)

C)

D)

Explanation :

The correct answer is table A . This is an exponential growth problem. The equation would be y = 200*3x, which is modeled by table

A

3 0 ) The tooth fairy brings Jack $5 plus $1 for each tooth that he loses. After Jack loses a few teeth, the tooth fairy decides that he is

paying too much money for teeth. He now gives Jack $5 plus $0.50 for each tooth lost. Which graph shows the new function?



A)

B)



C)

D)

Explanation :

The $5 is the y-intercept and the $0.50 per tooth is the slope. The correct answer is graph B .

Documents

Functions - (MCC9‐12.F.IF.1) Understand Functions, …micahshue.weebly.com/uploads/2/2/5/6/22568286/funciotns_key.pdf · 4/21/2014 USATestprep, Inc. - Online State-Specific Review