(N A2) Topic 6 Quiz

• Asymptote: y = 3, Domain: all real numbers, Range: y > 3, Y-intercept: (0, 3.02)

• Asymptote: y = 0, Domain: x > 0, Range: y > 0, Y-intercept: (0, 1)

• Asymptote: y = 3, Domain: x < 0, Range: y < 3, Y-intercept: (0, 2)

• Asymptote: y = 0, Domain: all real numbers, Range: y > 0, Y-intercept: (0, 1/3)

Identify the key features of the graph of the logarithm. y = log(x - 1) + 7. Which of the following is the correct Vertical Asymptote?

• x = 0

• x = 1

• x = -1

• x = 7

A population of 600 cows grows at an annual rate of 10%. What will the approximate population be after 5 years?

• 472

• 950

• 966

• 980

The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Write an exponential decay function, P(t) and use it to approximate the population in 2036. P(t) = ____________, so in 2036 the population is about ____________ rabbits.

$6,000 is invested in an account that earns 4.5% annual interest, compounded quarterly. What is the value of the account after 8 years?

• $6,561.26

• $8,532.60

• $8,582.71

• $25,539.89

Suppose you invest $400 at an annual interest rate of 7.8% compounded continuously. How much will you have in the account after 2.5 years?

• $1,081.12

• $2,181.47

• $212.03

• $486.12

• log 2048 = 11 · 2

• log₂2048 = 11

• log 2048 = 11

• log₁₆2048 = 2

Rewrite the logarithmic equation, log₄(1/16) = -2, as an exponential equation.

Evaluate the logarithm: log 0.01.

• -10

• -2

• 2

• 10

Evaluate the logarithm: log₇343.

• -3

• 7

• 3

• 2