Question

. Find a cubic function f(x) with roots x = 4, x = 1, x = −2 and f(1) = 16.

3. Sketch the graph of f(x) = (x − 2)/x^2−3x−4 showing zeros, intercepts, and asymptotes.

4. Assume that world population(in billions of people) in t years since 2016 is given by y = 7.7e^0.01t . When will the population reach 9 billion?

5. Solve for x: log3 (x + 2) + log3 (x − 4) = 3.

6. Show that sec x = 2 sin x / sin(2x)

7. Graph one period of y = −3 cos (x/3 − π/ 2) . What are the period, amplitude and phase shift?

8. A triangle has sides a = 2, b = 5, and c = 6. Solve the triangle.

9. Graph (x − 2)^2 / 9 − (y + 1)^2 /16 = 1, labeling the center, vertices and foci.

10. Expand (x − 2y)^5 .

11. Triangle ABC has measures of b= 8, c = 12, and A = 50 degrees. Solve the triangle.

Answer 1