CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Students have asked these similar questions
7. Clearly explain why the Vertical Line Test works
relation is a function. (Do not explain how it works,
in identifying
explain
if the graph of a
why it works).
Looking at the graph of f(x), determine the following below. Show your work. Assume
ends of the graph continue.
10-
|(0, 8)
(0.189, 8.096)
-5
G
(-2, 0)
(1.702, 0)
10
(-3.,523, –4.689)
a. Location(s) where f "(x) < 0
b.
Location(s) where f'(x) has a minimum
c. Sign (positive/negative/zero) of f"(x) at Point G
d. Sign (positive/negative/zero) of f '(x) at Point F
Choose the correct answer
Please number of choose only please to all .
1-For what values of x is the function f(x)=-x2-2x+15 decreasing?
A)(-infinity,-2]. B)(-infinity,-1) C)[-2,infinity) D)(-1, infinity)
2-For what values of x is the function f(x)=1/2x(x2-3x-9)
decreasing?
A)(-3,1) B) (-1, 3) C)[-1, 3] D)(-infinity,-1)union(3, infinity)
3-For what values of x is the function f(x)=4x2+4x-3 increasing?
A)(-infinity,-1/2) B)(-infinity,-1/2]. C)(-1/2, infinity). D)[-1/2, infinity)
4-For what values of x is the function
F(x)=4x3+12x2-3 concave down ?
A)(-infinity,-1) B)(-infinity,-2). C)(-1, infinity). D)(-2, infinity)
5-For what values of x is the function f(x)=4x3+12x2-3 concave up?
A)(-infinity,-1) B)(-infinity,-2). C)(-1, infinity). D)(-2, infinity)
6- The critical values of f(x) = x+ 1/x is
A) {0} B) {1,-3} C){1,-1} D){2,-2})
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- Refer to the graph of the function f in the following figure. = 65 5 -2* (a) Find f(0). f(0) 4 3- 2- 1+ X = (i) f(x) = 3 X = (ii) f(x) = 0 X (b) Find the value of x for which f(x) = 3 and f(x) = 0. X 4 X y = f(x) 5 Xarrow_forwardHelp pls and show stepsarrow_forward2x(x-4) (x+7)(3x-5) 5. Consider the function f(x)3D a) When does f(x)=0 ? b) When is f (x) undefined? c) Create a sign chart to determine when f(x)>0. d) Use the sign chart you created in part c to determine when f(x) < 0.arrow_forward
- 5- -5 5 -5- Determine the values of a, b, c, and d so the function (a - a) (x + 1) (x + b) (x- c) (x + d) (x + 3) f (x) = correctly model the graph. (a, b, c, and d are all whole numbers) a = 5,arrow_forwardA candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.Write a list of six ordered pairs to show the height of the candle in inches (y) as a function of time in hours )x) from the first hour after it started burning. For example, the point (0,8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs Is this relation a function? Justify your answer using the list ordered pairs made in the first part. If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function and explain the answer using input and output values.arrow_forward5. (a) Define piece-wise defined function. The function f is defined as -2 2 Find the domain and intercepts of f. Then graph it.arrow_forward
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