REVIEW for Benchmark I

Mohave High School

River Valley High School

CRUSHD Academy

N. Fernandez

P. Reyes

T. Smeets

R. Hollander

D. Villanueva

1

2

3

5

6

7

Option 1

Option 2

Option 3

Option 4

Straight line, constant rate of change in y-values

Parabola, constant second differences in y-values

Exponential curve, constant ratio in y-values

Parabola, constant first differences in y-values

Option 1

Option 2

Option 3

Option 4

Linear

Quadratic

Exponential

None of the Above

The first is quadratic; the second is exponential

The first is exponential; the second is quadratic

Both are exponential

Both are quadratic

Linear

Quadratic

Exponential

None of the Above

The function has a constant rate of change.

The differences of y-values are constant.

The second differences of y-values are constant.

The growth rate is constant by percentage.

Both exponential

Exponential then linear

Linear then exponential

Quadratic then exponential

f(x), because it decreases at a constant rate

g(x), because it has a peak and then decreases

h(x), because it decreases by a constant percentage over time

None, because cooling cannot be modeled by these functions.

Both increases forever

One increases forever, the other has a maximum and then decreases

Both have a maximum and then decrease

Both are exponential

2

3

4

6

-4

4

7

-7

2

3

4

8

0

Undefined

1

-1

0

1

Undefined

-1

2

-2

5

-5

1

2

3

4

Option 1

Option 2

Option 3

Option 4

First segment

Second segment

Both equal

Not enough data

The lines are parallel.

The lines are perpendicular

The lines are the same

The lines never intersect

7

8

9

10

y=−3x+5

y=−3x−5

y=3x+5

y=3x−5

It goes up from left to right

It goes down from left to right

It is horizontal

It is vertical

$6,000/year

$8,000/year

$9,000/year

$10,000/year

28 m/s

30 m/s

32 m/s

34 m/s

Option 1

Option 2

Option 3

Option 4

(4, 3)

(-4, 3)

(4, -3)

(-4, -3)

-2

2

8

5

-3 and 2

3 and -2

-3 and -2

3 and 2

Upward

Downward

Sideways

None of the above

x = -3

x = 3

x = 5

x = -5

The maximum occurs when x=10, because that is the axis of symmetry of the parabola.

The maximum occurs when x=20, because the parabola opens upward and the vertex is at x=20.

The maximum occurs when x=10, because the vertex of a downward-opening parabola represents its maximum point.

The maximum occurs when x=0, because the profit is highest when no products are sold.

4 only

-4 only

±4

No solution

Option 1

Option 2

Option 3

Option 4

(2, 3)

(-2, 3)

(2, -3)

(-2, -3)

Option 1

Option 2

Option 3

Option 4

0 and -4

0 and 4

-2 and 4

-2 and 0

Option 1

Option 2

Option 3

Option 4

x = 3

x = -3

x = 2

x = -2

Opens upward, vertex is maximum

Opens downward, vertex is maximum

Opens upward, vertex is minimum

Opens downward, vertex is minimum

2 seconds

4 seconds

5 seconds

10 seconds

$100,000

$200,000

$300,000

$400,000

5 units

10 units

15 units

20 units

900 square meters

1200 square meters

1800 square meters

2400 square meters

Option 1

Option 2

Option 3

Option 4

$50/year

$55/year

$110/year

$120/year

It is constant

It increases over time

It decreases after the peak

It is always positive

The train’s average rate of change is constant at 30 mph

The train accelerated

The train decelerated

The rate of change cannot be determined

The student is correct

The student is wrong; slope should be 4

The student is wrong; slope should be -8

The student is wrong; slope should be 8

Investment A, because linear growth is steady

Investment B, because exponential growth surpasses linear growth over time

Both will be equal

Investment A, because it starts faster