Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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Students have asked these similar questions
Exercises 135 and 136: Find f(x) = a(x – h) + k so
that f models the data exactly.
135.
2 3
5-1-3-1
5
136.
* -2-1
2
4
2
-4 -14
2.
Given that f(x) = x² + 1, g(x) =
the domain of each function in Exercises 21-29. Then find an
equation for the function and calculate its value at x = 1.
and h(x) = Jx, find
X- 2
x 2'
21. (f+g)(x)
22. (3fh)(x)
23. ()
24. (gof )(x)
25. (gog)(x)
26. (gohof)(x)
27. g(x – 5)
28. h(3x) + 1
29. h(Зx + 1)
In Exercises 7-10, evaluate each function at the given values of the independent variable
and simplify.
7. f(x) = 5-7x
a. f(4)
b. f(x + 3)
c. f(-x)
8. g(x) = 3x²5x+2
a. g (0)
b. g (-2)
c. g(x - 1)
d. g (-x)
9. g(x) =
[√x-4
4-x
a. g (13)
b. g (0)
c. g (-3)
10. f(x) =
x² - 1
1
x
12
a. f(-2)
b. f(1)
c. f(2)
if x ≥ 4
if x < 4
if x #1
if x = 1
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- 3 Let f(x) = . Find f(x) and F)(x). Explain in detail all the steps.arrow_forward\text { 20. } f(x)=|x-3|arrow_forwardThe table contains some input-output pairs for the functions f and g. x | f(x) | g(x) 2 5 3 3 2 5 9 9 3 9. 6. Evaluate the following expressions. a. f(g(6)) = Preview b. ƒ¯-'(9) = Preview c. g-(6) = Preview d. ƒ-'(g(5)) = Previewarrow_forward
- 5) Chapter 3.3 Find the second derivative of f and discuss the concavity of its graph. a. f (x) = -2z² b. f (2) = -2aarrow_forwardIn Exercises 27-34, let f(x) = x? – 2x and g(x) = x – 5. Find each of the following. 27. (f + g)(x) and (f + g)(-2) 28. f(3) + g(3) 29. (f - g)(x) and (f - g)(1) 30. f(4) – g(4) 31. (fg)(-3) 32. ()u) und ()e) (4) 33. The domain of f - g 34. The domain of -arrow_forwardIn Exercises 1-8, evaluate the function at each specified value of the independent variable and simplifyarrow_forward
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