Unit Test — Unit test Answers

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What is the true solution to the equation below?

and

and

and

and

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What is the true solution to the logarithmic equation below?

x = 0

x = two-ninths

x = four-ninths

x = two-thirds

Which is the graph of ?

On a coordinate plane, a curve starts at y = negative 3 and curves up into quadrant 1. It approaches y = 3.

On a coordinate plane, a curve starts at y = negative 2 and curves up into quadrant 2. It approaches y = 2 in quadrant 2.

On a coordinate plane, a curve starts at y = 3 and curves down into quadrant 4. It approaches y = negative 3 in quadrant 4.

On a coordinate plane, a curve starts at y = 4 and curves down into quadrant 3. It approaches y = negative 3 in quadrant 3.

What is the solution to the equation below?

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mc008-4.jpg

mc008-5.jpg

What is the range of the function

y less-than 0

y greater-than 0

y less-than 4

y greater-than 4

What is the value of ?

–4

Negative one-fourth

One-fourth

What is the solution to

x = negative 4

x = negative 2

x = 4

x = 8

A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

2.5 days

5.0 days

46.6 days

66.7 days

The height of a plant over time is shown in the table below. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall?Plant Heightt, time in monthsh, height in inches118218.21318.33418.42518.48618.54

10 months

14 months

16 months

28 months

For what value of n does ?

–3

Negative three-halves

Three-halves

What is the domain of ?

all real numbers less than –3

all real numbers greater than –3

all real numbers less than 3

all real numbers greater than 3

What is the solution of log2 (3x - 7) = 3?

One-third

Sixteen-thirds

Which function is shown in the graph below?

y = (one-half) Superscript x + 3 Baseline minus 1

y = (one-half) Superscript x minus 3 Baseline + 1

y = (one-half) Superscript x minus 1 Baseline + 3

y = (one-half) Superscript x + 1 Baseline minus 3

For what value of n does ?

–3

Negative one-third

Five-ninths

What is the range of the function

all real numbers less than –1

all real numbers greater than –1

all real numbers less than 1

all real numbers greater than 1

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?

2 Db

22 Db

60 Db

110 Db

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. Jessica is listening to soft music at a sound intensity level of 10-9 on her computer while she does her homework. Braylee is completing her homework while listening to very loud music at a sound intensity level of 10-3 on her headphones. How many times louder is Braylee’s music than Jessica’s?

times louder

3 times louder

30 times louder

90 times louder

The range of which function is ?

y = 2x

y = 2(5x)

y = 5x +2

y = 5x + 2

Which graph represents an exponential decay function?

On a coordinate plane, a curve opens up and to the right in quadrant 4.

On a coordinate plane, a curve opens up and to the right in quadrants 1 and 2. The line rapidly decreases in quadrant 2 and then curves and approaches the x-axis in quadrant 1.

On a coordinate plane, a line slightly curves up in quadrant 1.

On a coordinate plane, a line slowly increases in quadrant 2 and then increases rapidly into quadrant 1.

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon’s car? Use a calculator and round your answer to the nearest whole number.