Objective 1: Graph Exponential Functions For Exercises 9–12, evaluate the functions at the given values of x . Round to 4 decimal places if necessary . h ( x ) = ( 1 4 ) x a. h ( − 3 ) b. h ( 1.4 ) c. h ( 3 ) d. h ( 0.5 e )
Objective 1: Graph Exponential Functions For Exercises 9–12, evaluate the functions at the given values of x . Round to 4 decimal places if necessary . h ( x ) = ( 1 4 ) x a. h ( − 3 ) b. h ( 1.4 ) c. h ( 3 ) d. h ( 0.5 e )
Solution Summary: The author calculates the value of the function h(x)= (14
America is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?
In Exercises 11–18, graph each function by making a table of
coordinates. If applicable, use a graphing utility to confirm your
hand-drawn graph.
11. f(x) = 4"
13. g(x) = ()*
15. h(x) = (})*
17. f(x) = (0.6)
12. f(x) = 5"
14. g(x) = ()
16. h(x) = (})*
18. f(x) = (0.8)*
%3!
Which of the functions graphed in Exercises 1–6 are one-to-one, and which are not?
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