Name: ______Date: ______

HW IM3 4.1.1-4.1.2Block: ____

4-7.Read the Math Notes box in this lesson. For each question, describe the population of interest. Then state whether a census is practical or whether it makes more sense to take a sample. Justify your response.

  1. What is the average time it takes U.S. employees to commute to work?
  1. What is the average bedtime for students in your math class?
  1. How much Vitamin A is in an average carrot?
  1. What is the public approval rating of the Governor?
  1. How much weight can an elevator cable support?
  1. What are your friends' favorite movies?

4-8.Sketch a graph that is a decreasing exponential function with thexaxis as the horizontal asymptote. Then make a similar sketch, but this time with the liney=5 as the horizontal asymptote.

4-9.Sketch the solution of this system of inequalities.

y ≥ x² - 5

y ≤ -(x – 1)² +7

4-10.Simplify each of the following expressions, leaving only positive exponents in your answer.

a. (x3y–2)–4

b. –3x2(6xy– 2x3y2z)

4-11.Recently, Kalani and Lynette took a trip in California from Vacaville to Los Angeles. The graph at right represents their trip.

a. Explain what each line segment in the graph represents.

b. About how many miles is it from Vacaville to Los Angeles? How do you know?

c. Using the graph shown above, sketch a graph that would represent theirspeedwhile traveling. Take your time to think this through carefully and be sure to label the axes.

4-12.What are thex andyintercepts of the graphs of the functions?

a. y= 2x2+ 3x– 5

b. y=

4-13.Write the functiony=x2+ 7x– 8 in graphing form.

4-20.Consider each of the following survey questions. For each one, explain any bias you notice. If you think the question is unbiased (or fair), explain why.

  1. Do you agree that it is important to make ending homelessness a high priority?
  2. Which of the following factors is most important to address in order to slow global climate change?

A.Car emissions

B.Airplane emissions

C.Pollutants from private industry

D.Dependence on oil

  1. How important is it to raise teacher salaries?

4-21.Consider each of the following research conditions. For each one, write a research question that would be subject to such a condition.

  1. Sampling must be used because the population is too large to measure.
  1. Sampling must be used because measuring the population would destroyit.
  1. A census can be used because the population is not very large.
  1. A census can be used, even though the population is very large.

4-22.Solve the inequalities below. Check your solutions, if possible.

  1. ≥–4b. x2+x– 20 < 0

4-23.Solve each equation fory.

a. x2=x(2x−4)+y b. x=3+(y−5)2

4-24.State the domain and range of each graph. Then state whether or not it is a function.

a. b.

4-26.Given the figure at right, determine the measures of the four lettered angles. Explain how you found each angle measure and name the relationship(s) you used to do so.