From a boat on the lake, the angle of elevation to the top of a cliff is 15°54′. If the base of the cliff is 967 feet from the boat, how high is the cliff (to the nearest foot)? (5 points)

State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. (5 points)f(x) =  

Use the Rational Zeros Theorem to write a list of all potential rational zeros. (5 points) f(x) = 14×3 + 56×2 + 2x – 7  

Find the vertex of the graph of the function. (5 points) f(x) = 2×2 – 8x + 6  

Graph the expression sec2 x – sec2 x sin2 x on your calculator. Determine what constant or single function is equivalent to the given expression. (5 points)

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 13°7′. When the boat stops, the angle of depression is 50°42′ . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. (5 points)

Find a cubic function with the given zeros. (5 points)-7, 5, -3 

Write a linear factorization of the function. (5 points)f(x) = x4 + 4×2 

Find (f + g)(x). (5 points)

Find the vertex of the graph of the function. (5 points) f(x) = 2×2 – 8x + 9