Answers LAUSD-Algebra II B Prescriptive - SummerUnit Test

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What is the range of the function graphed below?

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The graph of a hyperbola is shown.

9 units

12 units

18 units

24 units

What is the general equation of a sine function with an amplitude of 6, a period of , and a horizontal shift of ?

y = sine (8 (x minus StartFraction pi Over 2 EndFraction))

y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))

y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))

y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction

The average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation graphed below, where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. If the equation is , what are the values of a and k?

a = –60; k = 20

a = –50; k = 30

a = –30; k = 50

a = –20; k = 60

Which of the following is the equation of the function below?

y equal to 2 cosecant left-square-bracket 2 (x + pi) right-square-bracket minus 2.

y equal to o point 5 secant left-square-bracket 2 (x + pi) right-square-bracket minus 4.

y equal to 0 point 5 cosecant left-square-bracket 2 (x + pi) right-square-bracket minus 4.

y equal to 2 secant left-square-bracket 2 (x + pi) right-square-bracket minus 2.

What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

(−9,6)

(−6,9)

(6,−9)

(9,−6)

Which of the following describes the graph of ?

The graph has closed circles on the left of each step and open circles on the right and includes the step .

The graph has open circles on the left of each step and closed circles on the right and includes the step .

A circle has a central angle measuring radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .

3.7 cm

4.9 cm

14.3 cm

15.4 cm

What are the domain and range of ?

domain: x > 1; range: y > 2

domain: x > 1; range: all real numbers

domain: all real numbers; range: y > 1

domain: all real numbers; range: all real numbers

Which expression is equivalent to ?

log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

log Subscript 2 Baseline x + 3 log Subscript 2 Baseline 9

3 log Subscript 2 Baseline x minus log Subscript 2 Baseline 9

3 log Subscript 2 Baseline 9 minus log Subscript 2 Baseline x

The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which statement must be true?

Thanh’s grade is 2.5 standard deviations below the mean of the test grades.

Thanh’s grade is 2.5 points below the mean of the test grades.

Thanh’s grade is 2.5 standard deviations above the mean of the test grades.

Thanh’s grade is 2.5 points above the mean of the test grades.

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

point discontinuity at x = –2

point discontinuity at x = 4; jump discontinuity at x = –2

point discontinuities at x = –4 and x = 4; jump discontinuity at x = –2

jump discontinuities at x = –4, x = –2, and x = 4

An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall on the y-axis?

n = 3

n = 4

n = 5

n = 6

Voluntary sampling is one type of sampling method that is not probability based. This means that

each member of a population is equally likely to be chosen for the survey.

the results of the survey cannot reliably be extended and generalized.

the likelihood of a member of the population volunteering to be surveyed is not probable.

the results of the survey are not mathematically probable.

Which second degree polynomial function has a leading coefficient of 2 and roots –3 and 5?

f(x) = 2x2 + 4x – 30

f(x) = 2x2 + 2x – 15

f(x) = 2x2 – 4x – 30

f(x) = 2x2 – 2x – 15

The histogram below shows the average number of days per year in 117 Oklahoma cities where the high temperature was greater than 90 degrees Fahrenheit.Which is an accurate comparison?

The mean is likely greater than the median because the data is skewed to the right.

The mean is likely greater than the median because the data is skewed to the left.

The median is likely greater than the mean because the data is skewed to the right.

The median is likely greater than the mean because the data is skewed to the left.

What are the solutions of the equation (x + 2)2 – 2(x + 2) – 15 = 0? Use u substitution to solve.

x = –7 and x = 1

x = –5 and x = 3

x = –3 and x = 5

x = –1 and x = 7

Which function is the same as ?

y = 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2

y = negative 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2

y = 3 cosine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2

y = negative 3 cosine (2 (x + StartFraction pi Over 2 EndFraction)) minus 2

What is the range of the function f(x) = –2(6x) + 3?

(negative infinity, negative 2 Right-bracket

(negative infinity, 3)

Left-bracket negative 2, infinity)

Left-bracket 3, infinity)

Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion?

The z-statistic is less than 0.

The z-statistic lies in the critical region.

The z-statistic is greater than 0.

The z-statistic lies outside the critical region.

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

f(–2) = –6

f(–2) = –4

f(–2) = 0

f(–2) = 3

Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?

110°

115°

210°

215°

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?

f(x) = 3x2 + 5x + 4

f(x) = 3x2 + 15x + 12

f(x) = 3x2 – 5x + 4

f(x) = 3x2 – 15x + 12

Which measure is of an angle that is coterminal with a 95° angle?

95° – (1,450n)°, for any integer n

95° – (1,080n)°, for any integer n

95° – (780n)°, for any integer n

95° – (340n)°, for any integer n

Which of the following represents the measures of all angles coterminal with a –220° angle?

360 + 140n, for any whole number n

360 + 140n, for any integer n

140+ 360n, for any whole number n

140 + 360n, for any integer n

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