Exponential/Logarithmic Function

What is the range of the function?

• y > -4

• y < -4

• All real numbers

• y < 2

What is the equation of the vertical asymptote?

• x = -2

• y = -2

• x = 1

• y = 1

Describe the graph of f(x) = log x changed to f(x) = 3log(x + 1) - 5

• vertical stretch by 3 and shift right 1 and 5 units down

• vertical stretch by 3 and shift left 1 and 5 units down

• vertical compress by 3 and shift right 1 and 5 units down

• vertical compress by 3 and shift left 1 and 5 units down

What is the growth or decay rate of h(t) = 15(.45)^t

• growth rate 45%

• decay rate 45%

• growth rate 55%

• decay rate 55%

What is the inverse function of f(x) = 10^(x+7) - 2

• f^-1(x) = log (x - 2) - 7

• f^-1(x) = log (x - 2) + 7

• f^-1(x) = log (x + 2) - 7

• f^-1(x) = log (x + 2) + 7

Ms. Reyes deposits $2500 in the bank and earns 5.49% interest monthly. Which equation can be used to determine the amount of money she has after 20 years?

• A(x) = 2500(1 + .0549/12)¹²⁽²⁰⁾

• A(x) = 2500(1 + .0549/12)⁽²⁰⁾

• A(x) = 2500(1 + .0549)⁽²⁰⁾

• A(x) = 2500(1 + .0549)¹²⁽²⁰⁾

Money is deposited into an account with interest using the formula A = Pe^rt . How many years will it take for the amount of money to double if the interest is compounded continuously at 5%?

• 13 years

• 14 years

• 1 year

• 2 year

The domain of log_ax functions is always

• (-infinity, infinity)

• (-infinity, 0)

• [0, infinity)

• (0, infinity)

Logarithmic functions have...

• Only vertical asymptote

• Only horizontal asymptote

• Vertical & horizontal asymptotes

• No asymptotes