For Exercises 53–58, a. Identify the power function of the form y = x n that is the parent function to the given graph. b. In order, outline the transformations that would be required on the graph of y = x n to make the graph of the given function. See Section 2.6, page 236. c. Match the function with the graph of i–vi. m ( x ) = ( − x − 3 ) 5 + 1
For Exercises 53–58, a. Identify the power function of the form y = x n that is the parent function to the given graph. b. In order, outline the transformations that would be required on the graph of y = x n to make the graph of the given function. See Section 2.6, page 236. c. Match the function with the graph of i–vi. m ( x ) = ( − x − 3 ) 5 + 1
Solution Summary: The author explains that the power functions are the polynomial functions that can be represented in the form of f(x)=x
a. Identify the power function of the form
y
=
x
n
that is the parent function to the given graph.
b. In order, outline the transformations that would be required on the graph of
y
=
x
n
to make the graph of the given function. See Section 2.6, page 236.
. Marriage Rate The marriage rate per 1000 unmarriedwomen for the years 1987–2014 can be modeled bythe function 132x + 1000y = 9570, where x is thenumber of years after 1980. During what year doesthe equation indicate the marriage rate will be 4.29?(Source: National Vital Statistics Report 2010)
In Exercises 73–78, the graph of f is shownin the figure. Sketch a graph of the derivative of f. To print anenlarged copy of the graph, go to MathGraphs.com.image5
. Gold Prices The price of an ounce of gold in U.S. dollars for the years 1997–2011 can be modeled by thefunction G(x) = 11.532x2 - 259.978x + 1666.555,where x is the number of years after 1990.a. Graph this function for values of x representing1997–2011.b. According to the model, what will the price ofgold be in 2020?c. Use graphical or numerical methods to estimatewhen the price of gold will reach $2702.80per ounce.
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