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1. Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions.
2. How many x-intercepts can a function have? Give a specific example and state the rule that backs up your answer.
3. Explain how the vertical line test works to prove if a graph is a function or not. Research and explain what the horizontal line test is used to prove for functions.
4. A classmate tells you that every quadratic function of the form f(x) = ax2 + bx + c has a domain of all real numbers. Do you agree? Explain.
5. Suppose that f is a function. Given, f(a) = f(b). Does this imply a = b? Prove with a specific example.
Company reports the following operating results for the month of August: Sales $350,000 (units 5,000); variable costs $210,000; and fixed costs $90,000. Management is considering the following independent courses of action to increase net income.
patricia had less than 9 to spend when she went to the grocery store. she bought 1 pound of tomatoes and wanted to
A company that employees 6 managers, 15 clerical workers and 23 warehouse personnel is relocating and wants to create a committee that has representatives from each group to oversee the process. How many different ways can they select 2 managers, ..
Let G, G1, and G2 be groups. Let µ1 : G -> G1 and µ2 : G -> G2 be group homomorphisms.
Find the vertex and axis of symmetry.
Write an equation in standard form for the line passing through the pair of points. Please show work. Decide whether the pair of lines is parallel, perpendicular, or neither.
Calculate the age of a bone fossil
Theorem: If is a root of is a root of g(x), reciprocal polynomial of f(x). Also f(x) is irreducible iff its reciprocal polynomial is irreducible, and f(x) is primitive iff its reciprocal polynomial is primitive.
Jack and Jill went up the hill and found that their grandmother had died. She left them in her will only one possession: an antique water pail.
What rule of operations that applies when you are solving an equation does not apply when you are solving an inequality? Show with examples.Discuss what rules use to solve them. What is differences between an equations and inequality.
Which arithmetic operations on polynomials affect the values of the exponents? Can you exhibit the laws governing exponents and applications of these laws?
The Body Mass Index (BMI) is used to assess the level of fat in a person's body. When Tim weighed 147 pounds his BMI was 23.4. When his weight went to 185, his BMI was 29.5. What would Tim's BMI be if he reduced his weight to 160 pounds?
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