Answers High School Math 2 AGeometric Sequences

Geometric Sequences — Cumulative exam Answers

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Which of the following is the inverse of ?

y = log Subscript one-twelfth Baseline x

y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction

y = log Subscript x Baseline 12

y = log Subscript 12 Baseline x

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According to the Rational Root Theorem, is a potential rational root of which function?

f(x) = 4x4 – 7x2 + x + 25

f(x) = 9x4 – 7x2 + x + 10

f(x) = 10x4 – 7x2 + x + 9

f(x) = 25x4 – 7x2 + x + 4

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

and x = ±1

and x = ±i

and x = ±1

and x = ±i

Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1

0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1

0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1

0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1

Which of the following graphs could be the graph of the function f(x) = x3 + 8?

Option

Use synthetic division to solve . What is the quotient?

x squared + 4 x + 3

x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction

x cubed + 4 x squared + 3 x

x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction

For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7?

Four-sevenths

Seven-fourths

Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens up and to the left in quadrant 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens up and to the left in quadrants 2 and 3.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 2, and the other curve opens up and to the left in quadrant 3.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrants 3 and 4.

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

The graph below shows the function .Which statement is true?

There is a hole at x = 3 and an asymptote at x = –1.

There is an asymptote at x = –1 and no hole.

There is a hole at x = 3 and no asymptote.

There is an asymptote at x = 3 and a hole at x = –1.

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

x = –25 or x = 10

x = –25, x = 1, or x = 10

x = –10 or x = 5

x = –10, x = –5, or x = 5

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.

On a coordinate plane, 5 points are plotted. The points are (1, 1,296), (2, 1,080), (3, 900), (4, 750), (5, 625).

f(x + 1) = f(x)

f(x + 1) =

Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?

–2

–1

Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to represent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research. Ant Colony Growth: Bee Hive Growth: Which insect population is growing at a faster rate?

The ant colony is growing at a faster rate. It will multiply by 3.8 each week while the bee hive will add 3.8 each week.

The bee hive is growing at a faster rate. It will multiply by 3.8 each week while the ant colony will add 3.8 each week.

The ant colony is growing at a faster rate. It will add 3.8 each week while the bee hive will subtract 3.8 each week.

The bee hive is growing at a faster rate. It will add 3.8 each week while the ant colony will divide by 3.8 each week.

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