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The table represents a function.

–6

–2

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Which statements about the local maximums and minimums for the given function are true? Choose three options.

Over the interval [1, 3], the local minimum is 0

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Over the interval [3, 5], the local maximum is 0.

The volume of air inside a rubber ball with radius r can be found using the function . What does represent?

the radius of the rubber ball when the volume equals cubic feet

the volume of the rubber ball when the radius equals feet

that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet

that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet

Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....Taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. Julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44.Which best explains which student is correct?

Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by –2.

Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16.5.

Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.

Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

What is the slope of the line represented by the equation f(t)=2t−6?

The slope is 2 and the y-intercept is −6.

The slope is −6 and the y-intercept is 2.

The slope is 2 and the y-intercept is 6.

The slope is 6 and the y-intercept is 2.

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

negative StartFraction 4 Over 3 EndFraction

negative StartFraction 3 Over 4 EndFraction

StartFraction 3 Over 4 EndFraction

StartFraction 4 Over 3 EndFraction

A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.

(–2, 0)

(0, –2)

(2, –1)

(4, 0)

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

y = –x + 9

y = –x + 5

y = –3x – 11y

y = –3x + 25

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

b = –a

–b = –a

b – a = 0

b(–a) = 0

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?

–12, –18, –27, ...

–20, 30, –45, ...

–18, –16.5, –15, ...

–16, –17.5, –19, ...

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.

(–1, –3)

(0, –2)

(1, 4)

(2, 1)

The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

−3

Option

On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).

Over the interval [–3, –2], the local minimum is 0.

Over the interval [–2, –1], the local minimum is 2.2.

Over the interval [–1, 0.5], the local minimum is 1.

Over the interval [0.5, 2], the local minimum is 4.

Which graph represents a function with direct variation?

Option

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

f(x) = 2.25x + 5

f(x) = 5x + 2.25

f(x) = 2.25x − 5

f(x) = 5x − 2.25

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

4.9

9.8

10.2

19.6

The table represents a linear function.

–3

–2

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

–3x + 2 = y

–x + 2 = y

x – 3 = y

2x – 3 = y

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?9.6, –4.8, 2.4, –1.2, 0.6, ...

f(n + 1) = (–0.5)f(n)

f(n + 1) = (0.5)f(n)

f(n + 1) = f(0.5n)

f(n + 1) = f(–0.5n)

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

y = x + 2

y = x – 4

y = x +

y = x –

Which of these values could be the slope of the line? Select two options.

–2

Option

What is the y-intercept of the function f(x)=4 – 5x?

–5

–4

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.

f(x) ≤ 0 over the interval (–∞, ∞).

f(x) > 0 over the interval (–1, ∞).

f(x) ≥ 0 over the interval [–1, 1].

f(x) < 0 over the interval (0, 2).

Which is the graph of the equation ?

Option

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.

1. Plot the point (2, 4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.

1. Plot the point (2, 4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

1. Plot the point (–2,4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.

1. Plot the point (–2,4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

Which best describes the relationship between the successive terms in the sequence shown?2.4, –4.8, 9.6, –19.2

The common difference is –7.2.

The common difference is –2.4.

The common ratio is –2.0.

The common ratio is –0.5.

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

y – 6 = 2(x – 10)

y – 2 = (x – 10)

y – 3 = (x – 2)

y – 3 = 2(x – 10)

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased).

c(x) = 5.50 + 20.50x

c(x) = 5.50x + 20.50

c(x) = 5.50 + 21.60x

c(x) = 5.50x + 21.60

Which equation represents a line that passes through (2, –) and has a slope of 3?

y – 2 = 3(x + )

y – 3 = 2(x + )

y + = 3(x – 2)

y + = 2(x – 3)

The graph represents a functional relationship.

–14

–2

The table represents the function f(x).

–29

–10

–3

–1

Consider the function represented by the table.

The function f(x) is shown on the graph.

12 only

2 and 3 only

–2, –1, 1, and 2 only

–2, –1, 1, 2 and 12

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit

C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius

C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius

C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

(0, 8)

(–4, 0)

(–4, 0), (4, 0)

(–4, 0), (0, 8), (4, 0)

The graph of the function f(x) is shown below.

-1.8

-1.2

The graph represents the cost of a subscription to a newspaper.

$1.50

$7.50

$15.00

$30.00

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

5x + 3y = 18

5x – 3y = 30

5x – y = 30

5x + y = 18

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.

the height of the rock 3.2 seconds before it reaches the ground

the time it takes the rock to reach the ground, or 3.2 seconds

the time it takes the rock to reach a height of 3.2 meters

the height of the rock 3.2 seconds after it is propelled

On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).

(–3, 0) and (0, 1.5)

(–3, 0) and (1,0)

(–1, 2) and (1, 0)

(0, 1.5) and (1, 0)

What is the inverse of the function f(x) = x – 12?

h(x) = 48x – 4

h(x) = 48x + 4

h(x) = 4x – 48

h(x) = 4x + 48

If f(x) = 2x2 + 1, what is f(x) when x = 3?

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