

question 11 is the graph (10 points) The graph of a function f(x) is shown below....
Below is the graph of f(x), a function defined on the domain (-5,5). f(x) For each function value, decide if the value is positive, negative, zero, or undefined. a f'(-3) is positive negative zero undefined b. "(-1) is positive negative ? a. f'(-3) is positive negative zero undefined b. f "(-1) is positive negative zero undefined c. f'(1) is ? positive negative O O zero O undefined d. f"(3) is positive ã o negative o zero o o undefined e....
1.3-1.4: Problem 11 Previous Problem Problem List Next Problem (1 point) Consider the function f(x) shown in the graph below. (Note that you can click on the graph to get a larger version of it, and that it may be useful to print that larger version to be able to work with it by hand.) Carefully sketch the derivative function of the given function (you will want to estimate values on the derivative function at different x values as you...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
Peer Leading Exercise 7 Spring 2019: Area Under the Given a function (x), the area under the curve is the area of the region bordered by the x -sxis and the graph of y(x). Area under the curve is somehow related to anti-derivatives. We wish to Example: Let f(x) -10-2x. Find the area under the curve between x 0 and x graph to help you visualize what is going on. Do you recognize the shape? 5. We include a 2...
Question For this problem, consider the function
y=f(x)=
|x|
+
x
3
on the domain of all real numbers.
(a) The value of
limx→
∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(b) The value of
limx→
−∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(c) There are two x-intercepts; list these in increasing
order: s=
, t=
.
(d) The intercepts in part (c) divide...
Question 19
For which value of x does the function shown in the graph below
appear to be decreasing?
All values of x
No values of x
Question 20
For what values of x does the function shown in the graph below
appear to be negative?
Question 21
Which graph represents the following table of values?
x
y
1
2
2
3
4
3.5
Question 22
Which rational expression has
and
as asymptotes on...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
10. Let f(x)- x+1, when x<0 x21, when x20 Calculate Sro(x) Graph fx) near zero and then graph Sce)(x) near zero. So)(x) fx) lim So (x) = x 0 lim So)(x) x0+ limSt (x) x0 Based on the graph of f(x) and a limit calculation, deternmine if f(x) is continuous at x=0. Based on the graph of So)(x) and the limit calculations above, classify what kind of discontinuity point S(o) (x) has at x-0 Does f '(0) exist? If yes,...