Answers TX-Precalculus ACumulative Exam

Cumulative Exam — Cumulative exam Answers

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How does the value of a affect the graph of the monomial function ?

As |a| increases, the graph widens; as |a| decreases, the graph narrows.

As |a| increases, the graph narrows; as |a| decreases, the graph widens.

As |a| increases, the graph translates to the right; as |a| decreases, the graph translates to the left.

As |a| increases, the graph translates up; as |a| decreases, the graph translates down.

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The height of a tennis ball tossed into the air is modeled by h(x) = 40x – 16x 2, where x is elapsed time in seconds.During what time interval will the tennis ball be at least 15 feet above the ground?

x > 0.5 seconds and x > 2.04 seconds

x > 0.5 seconds and x ≤ 2.04 seconds

x ≥ 0.5 seconds and x > 2.04 seconds

x ≥ 0.5 seconds and x ≤ 2.04 seconds

Functions f(x) and g(x) are composed to form . If , what is the value of a?

–1

–2

–4

Which of the following is the graph of the function y = 4csc(x)?

On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals negative 3 at (pi by 2 comma negative 3) and (negative 3 pi by 2 comma negative 3) and y equals negative 5 at (3 pi by 2 comma negative 5) and (negative pi by 2 comma negative 5).

On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 5 at (pi by 2 comma 5) and (negative 3 pi by 2 comma 5) and y equals negative 3 at (3 pi by 2 comma 3) and (negative pi by 2 comma 3).

On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (5 pi by 2 comma 4) and (pi by 2 comma 4) and y equals negative 4 at (3 pi by 2 comma negative 4) and (negative pi by 2 comma negative 4).

On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (9 pi by 5 comma 4) and (pi by 5 comma 4) and y equals negative 4 at (14 pi by 5 comma negative 4) and (negative 4 pi by 5 comma negative 4).

What is the solution to the trigonometric inequality over the interval radians?

x is greater than StartFraction pi over 4 EndFraction but less than StartFraction 7pi over 4 EndFraction

and

x is greater than StartFraction pi over 2 EndFraction but less than StartFraction 3pi over 2 EndFraction

and

Which graph includes a function, its inverse, and a dashed line that verifies the relationship?

Option

Which expression is equivalent to 3cos2?

(cos(ϴ) – 1)

(cos(ϴ) – 5)

3(cos(ϴ) + 2)

3(cos(ϴ) + 1)

Which expression is equivalent to ?

2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4

2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16

2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4

2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4

Let csc(x) = , where . Which ratio has a value of ?

cos(x)

sin(x)

sec(x)

cot(x)

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

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 graph below can be used to help solve which of the following trigonometric inequalities over the interval radians?

cosine (x) is less than 0.25

cosine squared (x) is less than 0.25

sine (x) is less than 0.25

sine squared (x) is less than 0.25

As the weight of purchased items increases, the shipping charges increase, as shown in the table below.Weight, in ozTotal Shipping Costnot more than 5$9.50more than 5, not more than 10$13.25more than 10, not more than 15$17.00more than 15, not more than 20$20.75Assuming only positive domain values, which statement is true of the graph that represents the total cost, y, in dollars for shipping items that weigh x ounces?

The graph is discontinuous at x = 5, x = 10, and x = 15.

The range values for the set of the data are 10, 14, 17, and 21.

For every 1-ounce increase in weight, the total shipping cost increases by $3.75.

The left side of each horizontal interval is a closed circle, and the right side is an open circle.

By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?M = the magnitude of an earthquakeI = the intensity of an earthquakeI0 = the smallest seismic activity that can be measured, which is 1