PreCalc Unit 4 Review

Determine the location of the horizontal asymptote for the function.

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

Determine the increasing interval for the function.

f(x) = log₂(x + 5) - 1

Approximate the value of the function to the nearest ten thousandths place.

log₁₅ 4

(a)  

Select all of the expressions that are equivalent to the expression.

ln (4x)²

Solve the equation. If necessary, round to the nearest ten-thousandths place. Check for extraneous solutions.

log(3x + 1) - log(x - 5) = log(x + 4)

(a)  

Solve the equation. If necessary, round to the nearest ten-thousandths place. Check for extraneous solutions.

-2ln(2w - 3) = -10

(a)  

Solve the equation. If necessary, round to the nearest ten-thousandths place. Check for extraneous solutions.

2^{v + 8} = 3^{2v - 1}

(a)  

A pizza is removed from the oven at a temperature of 425^oF. After 15 minutes, the pizza has cooled to 200^oF. Use a continuous exponential decay model to find the approximate decay rate.