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In most societies, women say they prefer to marry men who are older than themselves, whereas men say they prefer women who are younger. The bar graph shows the preferred age difference in a mate in five selected countries. Use the information to solve Exercises 65-66.
a. Consider a function, g, whose domain is the set of the five countries shown in the graph. Let the range be the set of negative numbers representing the average number of years men in each of the respective countries prefer women who are younger than themselves. Write the function g as a set of ordered pairs.
b. Write the relation that is the inverse of g as a set of ordered pairs. Based on these ordered pairs is g a one-to-one function? Explain your answer.
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Chapter 1 Solutions
EP PRECALCULUS-MYLABMATH+ETEXT ACCESS
- Number 4 plsarrow_forwardGood Day, Would appreciate any assistance with this query. Regards,arrow_forwardThis question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one. A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture. A B A B at some instant, the piston will be tangent to the circle (a) Express the x and y coordinates of point A as functions of t: x= 2 cos(3πt) and y= 2 sin(3t) (b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds: -cot(3πt) sin(3лt) (c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411- 4 -2 sin (3лt) (d)…arrow_forward
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