Answers AL-Algebra II with StatisticsCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which is equivalent to cos-1(0)? Give your answer in radians.

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Which graph shows this set of transformations applied to the parent cosine function? l A reflection across the x-axis l A shift of 2 units up l A vertical compression by a factor of 0.5

On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 2.5) at its maximum point.

On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 1.5) at its minimum point.

On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 22) at its midpoint.

On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 2) at its midpoint.

In the diagram below, = . What is the value of m?

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

StartFraction StartRoot 3 EndRoot Over 2 EndFraction

StartRoot 3 EndRoot

2 StartRoot 3 EndRoot

What is the value of ?

–4.00

–0.25

1.51

2.41

Which of the following accurately lists all of the discontinuities for the function graphed below?

jump discontinuity at x = 0; point discontinuity at x = 8

jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8

jump discontinuities at x = 0 and x = 8; point discontinuity at x = –2

jump discontinuity at x = 0; point discontinuities at x = –2, x = 3 and x = 8

The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?

The median age of the students in Math 1 is greater than the median age of the students in Math 2.

The median age of the students is Math 1 is less than the median age of the students in Math 2.

The mean and median age are most likely the same for both sets of data.

The mean and median age are more likely to be the same for the students in Math 1.

What are all the exact solutions of for ? Give your answer in radians.

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and

, and

Which graph shows the solution to the equation below?

On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4.

On a coordinate plane, 2 identical curves are shown. One curve starts at y = negative 3, and the other curve starts at y = 1.

On a coordinate plane, a curve and a line are shown.

On a coordinate plane, a curve and a cubic function are shown.

What is the true solution to

x = 5

x = 10

x = 50

x = 100

Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up

reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis

vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis

Which of the following probabilities is the greatest for a standard normal distribution?

P (negative 1.5 less-than-or-equal-to z less-than-or-equal-to negative 0.5)

P (negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5)

P (0.5 less-than-or-equal-to z less-than-or-equal-to 1.5)

P (1.5 less-than-or-equal-to z less-than-or-equal-to 2.5)

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.Trigonometric area formula: Area =

95 yards

107 yards

160 yards

190 yards

Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?

a pair of linear functions with defined slopes

a cubic function and a cube root function

a quadratic function and a square root function

a logarithmic function and an exponential function

Given that , what is the value of ?

Plus-or-minus StartRoot eight-thirds EndFraction

Plus-or-minus StartRoot eleven-eighths EndFraction

Eleven-eighths

Eight-thirds

Which step is included in the graph of the function ?

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What is written as a single logarithm?

log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket

log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)

log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket

log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)

The graph of a logarithmic function is shown below.What is the domain of the function?

x < 0

x > 0

x < 1

all real numbers

Which of the following is true regarding the solution to the logarithmic equation below?

is not a true solution because

is a true solution because

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

a census.

a sample survey.

an experiment.

an observational study.

Which equation is represented by the graph below?