(ii) (a) Draw the graph of x>0 f(x) = } 0 x = 0 -1 x<0

Q: What is the critical point of this function?

A: Critical points are that points where derivative is zero

Q: d) A function with no absolute extrema but with a local minimum of -5 at x = 4 and a local maximum…

A: Follow the procedure given below.

Q: 2) What is the Domain and Range of y =Tanx Function Domain: Range:

A:

Q: Find the quadratic approximation to f(x) = /x + 3 near a = 1. Graph f, the quadratic approximation,…

A: fx=x+3

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: To find relative extrema, we need to equate the derivative of  f(x) to zero- f(x) = 5x2- 20x + 5…

Q: 10- Continuity of the function f(x){*-5 -1<x<2 x² -1 2< x< 3 at x=2?

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: F(X)

A: y = f(x) is continuous at x = a  only if following properties are satisfy : (1)  f(a) exists . (2)…

Q: Find the r-coordinates of the absolute maximum and absolute minimum for the function f(x) = 3 - 2x –…

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: tion 1. Find the rule of the piecewise function

A: 1. From the graph given , the piecewise distribution of the function is as follows ,  fx=x+1 ,…

Q: ) Suppose we shift the graph of f vertically downwards by h units such that the maximum turning…

A: Given, the function f and g are defined by              f(x)=acosk(t-b)and              g(x)=mcsc…

Q: Find f'(x). f(x) = x5 – 4x3 + x – 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given :            f(x) = x5 - 4x3 + x - 1   To find : f'(x)

Q: Please help. *Find the equation of the normal line (NL) to the graph f(x)=x³-4x at x = 3. *For…

A: To find the equation of normal line to the curve

Q: Sketch the graph of y = x4 – 3x². Show all calculations of intercepts, critical point(s), local…

A:

Q: Sketch the graph of the floor function f(x) = x+ 1| over the interval [-3, 3) %3D Show your work

A:

Q: 3. Find all -values where the graph of f(x) = x³ + 3x² + x + 3 has a horizontal tangent line.

A: Solution is given below:

Q: Find f'(x). F(x) = x5 – 4x3 + x - 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given, f(x)=x5-4x3+x-1

Q: True or False The cube root function is odd and is decreasing on the interval (-∞,∞).

A: we have to tell whether the given statement is True or False

Q: find the intervals on which f(x) is increasing and decreasing. then sketch the graph. f(x) = 7 --…

A: We use first derivative to find out where function increasing or decreasing  when f'(x)&lt;0 then…

Q: The absolute minimum value of  f(x) = (x3/3) - ( 5x2/2) - 6x  on [-1,3] is?

A: fx=x33-5x22-6x,   -1, 3 Differentiating with respect to x, we get f'x=133x2-522x-61=x2-5x-6 Now to…

Q: Use the first derivative to determine where the function is increasing and decreasing and where all…

A:

Q: How do I find the absolute minimum of g(x)=ex/(7x) when x>0?

A: We first find the critical number by solving…

Q: True or false: Polynomial functions of degree 2 or higher have graphs that contain only rounded…

A: Consider the given information as Polynomial functions of degree 2 or higher have graphs that…

Q: -) Graph Y = 3*2), show critical points, where graph crosses the “X" & “Y" axes.

A: Making the graph of function we can see that graph cuts y axis and is an asymptote to x axis as…

Q: What is the relationship between functions whose limits can be obtained by direct substitution and…

A: We need to define the relation between a limit and continuous function.

Q: Find a function y whose graph passes through the point (1, =) and satisfies x2y' = y.

A: NOTE: Refresh your page if you can't see any equations. .

Q: On the interval -2 < x < 1, the function is… •maximum •minimum •increasing •decreasing •constant

A: Given a graph of any function. To find whether the function is maximum, minimum , increasing ,…

Q: 6. True or False The graph of the function f(x) = x? is increasing on the interval (0, ). (

A: f(x)=x2

Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…

A: Given query is to find f(2) and f'(2)

Q: What is a critical point of a function?

A: A critical point of a function of a single real variable f(x) is a value of xo in the domain of f…

Q: Find the relative maximum / minimum values of the function x- 2 f(x) = x+2 State where the function…

A: Given that, the function is fx=x-2x+2. Differentiate the function fx=x-2x+2 with respect to x as…

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

A:

Q: At the point x 2, the function -8 2<x<* f(x) = |x-2 -< xs2 is (a) continuous and differentiable (b)…

A:

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A:

Q: Suppose the graph of f(x) = x3is compressedvertically using a factor of 1/3and then shifted to…

A: Given : The parent function is f(x ) = x3 . The graph of f(x) = x3 is compressed vertically using a…

Q: Find f'(x). f(x) = x° – 4x³ + x – 1 - f'(x) = Compare the graphs of f and f'and use them to explain…

A: NOTE: Refresh your page if you can't see any equations.     . take derivative

Q: 12. The graph on the right is NOT differentiable at x = 1. For what reason is it not differentiable?

A: Yes, given graph is correct.Given function:f(x) = x-1f(x) = -x+1        x&lt;1x-1           x≥1

Q: Select the graph which satisfies all of the given conditions. f' (-3) = f' (2) = 0 Increasing on…

A:

Q: On the interval 2 < x < 4, there is a relative… •maximum •minimum •increasing •decreasing •constant

A:

Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

A:

Q: Hi ! I just wanted to ask if you could help me find the critical values, inflection, maximum and…

A: The given function is  fx=x3x-1 Critical points Where the function is defined and its derivative…

Q: Find the absolute minimum and absolute maximum values of f on the interval below. f(x) = 2x4 - 4x2 +…

A:

Q: On the interval -4 < x < -3, the function is… •maximum •minimum •increasing •decreasing •constant

A:

Q: graph of f(x) = 4(x – 2)² – 7 is a parabola that opens --Select- v with its vertex at (x, y) = ( and…

A:

Q: Investigate the connections between key properties such as increasing/decreasing intervals, local…

A:

Q: 311. When you find the maximum for an optimization problem, why do you need to check the sign of the…

A:

Q: Graph the tangent line to the function f(x) = –3x³ – 2x² – x + 3 at the point (-1, 5). Place point A…

A: Given that the function  is    f(x) = -3x3 - 2x2 - x + 3  Here we have to find the tangent line at…

Q: or equal to 0). Find the minimum possible value of X346.

A: here given mean of 345 quantities is 5.9

Q: 6. a. Identify the open intervals on which the function is increasing or decreasing. Use the First…

A: The given function is f(x)=14x4+2x3. The first derivative of f is, f'(x)=144x3+23x2=x3+6x2 Equate…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.