Answers LAUSD-Algebra II B Prescriptive - SummerModeling with Exponential and Logarithmic Equations

Unit Test Answers

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Which graph shows the solution to the equation below?

On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = 1.

On a coordinate plane, a curves starts in quadrant 4 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = negative 1.

On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 1. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = 1.

On a coordinate plane, a curves starts in quadrant 3 and curves up into quadrant 1 and approaches y = 2. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = negative 1.

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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)

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

1 hour

6 hours

13 hours

15 hours

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 is the graph of ?

On a coordinate plane, a curve starts at (2, 0) and curves up and goes through (3, 3) and (9, 5).

mc026-3.jpg

mc026-4.jpg

On a coordinate plane, a curve starts at (2, 6) and curves down and goes through (3, 3) and (10, 2).

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

3 days

10 days

13 days

33 days

Which function has a horizontal asymptote of y = 3?

f(x) = 3(2x)

f(x) = 2(4)x–3

f(x) = 2(3x)

f(x) = 2(4x) + 3

What are the solutions to

x = negative 2 and x = negative 4

x = negative 1 and x = 8

x = 1 and x = negative 8

x = 2 and x = 4

For what values of x does ?

x = –3, x = 1

x = –1, x = 3

x = negative three-halves, x = 2

x = negative 2, x = three-halves

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

5 years

7 years

19 years

22 years

If , what is the value of x?

–3

–2

What is the solution of Round your answer to the nearest hundredth.

mc017-2.jpg

mc017-3.jpg

mc017-4.jpg

mc017-5.jpg

What is the solution to

mc004-2.jpg

mc004-3.jpg

mc004-4.jpg

mc004-5.jpg

Which of the following shows the graph of y = –(2)x – 1?

On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 0.5).

On a coordinate plane, a curve is level at y = negative 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).

On a coordinate plane, a curve is level at y = 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, 0).

On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).

If , what is the value of x?

Five-eighths

Eight-fifths

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