Explain how to sketch a graph of the function f(x)
= x3 + 2x2 - 8x. Be sure to include end-behavior,
zeroes, and intervals where the function is positive
and negative.

12. decide whether each statement is always true, sometimes true, or never true. a. when corresponding points of an original figure and its reflection are connected, the resulting segments are all perpendicular to the line of reflection. b. when a point is reflected over a horizontal line, the y-coordinate of the point stays the same. answer both questions and explain

Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation.

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.