In Exercises 21–26, find the indicated function values for each function. If necessary, round to two decimal places. If the function value is not a real number and does not exit, so state. g ( x ) = − 2 x + 1 ; g ( 4 ) , g ( 1 ) , g ( − 1 2 ) , g ( − 1 )
In Exercises 21–26, find the indicated function values for each function. If necessary, round to two decimal places. If the function value is not a real number and does not exit, so state. g ( x ) = − 2 x + 1 ; g ( 4 ) , g ( 1 ) , g ( − 1 2 ) , g ( − 1 )
Solution Summary: The author calculates the value of g(x)=-sqrt2x+1 for the function.
In Exercises 21–26, find the indicated function values for each function. If necessary, round to two decimal places. If the function value is not a real number and does not exit, so state.
g
(
x
)
=
−
2
x
+
1
;
g
(
4
)
,
g
(
1
)
,
g
(
−
1
2
)
,
g
(
−
1
)
In Exercises15–36, find the points of inflection and discuss theconcavity of the graph of the function.
f(x)=\frac{6-x}{\sqrt{x}}
The function f(x) = 0.4x2 – 36x + 1000 models the number
of accidents, f(x), per 50 million miles driven as a function of
a driver's age, x, in years, for drivers from ages 16 through 74,
inclusive. The graph of f is shown. Use the equation for f to solve
Exercises 45–48.
1000
flx) = 0.4x2 – 36x + 1000
16
45
74
Age of Driver
45. Find and interpret f(20). Identify this information as a
point on the graph of f.
46. Find and interpret f(50). Identify this information as a
point on the graph of f.
47. For what value of x does the graph reach its lowest point?
Use the equation for f to find the minimum value of y.
Describe the practical significance of this minimum value.
48. Use the graph to identify two different ages for which drivers
have the same number of accidents. Use the equation for f
to find the number of accidents for drivers at each of these
ages.
Number of Accidents
(per 50 million miles)
For Exercises 103–104, given y = f(x),
remainder
a. Divide the numerator by the denominator to write f(x) in the form f(x) = quotient +
divisor
b. Use transformations of y
1
to graph the function.
2x + 7
5х + 11
103. f(x)
104. f(x)
x + 3
x + 2
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY