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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.
Discuss everyday objects that have shapes described by conic section. Remember, the conic sections are the circle ellipse, parabola, and hyperbola.
An Airconditioning systemcan circulate 280 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
The order of operations to solve the expressions
an objects height in meters when thrown vertically from the ground at a velocity of 80 ms is given by the equation h
What is the annual benefit for a person who retires at age 64? At what retirement age does a person receive an annual benefit of $11,600?
Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protein? How many pounds of cornmeal should be in the mixture?
Calculate the length and width.
the standard error of the estimate indicatesselect onea. the typical distance between the regression line and each of
What is the best method for solving absolute value inequalities? Finally, we remember that |x|=|-x|. This means that we do not solve absolute value inequalities with a negative x inside! We simply rewrite it: |2-3x|=|3x-2|. This means we never have..
With a utility function of U(S,A)= S^0.4*A^0.6, derive a set of data points for U=1 and then plot a graph to show this indifference curve. Hint: use maximum values of 9 apples (A) and 27 sandwiches (S).
Decide on an initial population and name of a rural town.
How would you use this procedure to determine if a given polynomial is prime, that is, determine that it cannot be factored into a product of two linear polynomials (note pps 321 and 327 of the text, Prime Polynomials)?
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