Precalculus Essentials samenvattingen

(13.) Solve the equation by expressing each side as a power of the same base and then equating exponents (14. & 15.) Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer

(5.) Use the Rational Zero Theorem to list all possible rational zeros for the given function (6.) Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation

(16.) Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer (17.) Solve the exponential decay problem (18.) Use Newton's Law of Cooling, to solve the problem

(10. & 11.) Solve the exponential equation. Express the solution set in terms of natural logarithms (12.) Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution

(7. & 8.) Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator (9.) Solve the equation by expressing each side as a power of the same base and then equating exponents

(3.) Find the domain of the logarithmic function (4. & 5.) Use the properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions (6.) Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator

(7.) Find an nth degree polynomial function with real coefficients satisfying the given conditions (8.) Find a rational zero of the polynomial function and use it to find all the zeros of the function (9.) Find the vertical asymptotes, if any, of the graph of the rational function. Find the domain of the definition

(19. & 20.) Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer

(10.) Find the horizontal asymptote, if any, of the graph of the rational function (11.) Graph the rational function A message from Jaime: #11 is where I lost points. My professor drew in the correct graph in red in this document.