(x) > 0 and f"(x) > 0 for all x y y y

Q: 30. Consider the function defined by 0ifx 1 Sketch this graph and find all points where the graph is…

A:

Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

A: Given   y = sin (x3) ....(1)   , (1, 2)

Q: 1. F(X) = 2X3-6X2-18X+2   {-2,4}

A: Given:  F(X) = 2X3-6X2-18X+2   {-2,4}

Q: Sketch the graph of the function f(x). f(x) is continuous from the right at x = 3, but not from the…

A:

Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

A:

Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

A:

Q: Find the length of the curve of the graph of the indicated function. y = In(sen x), between points…

A:

Q: Sketch the graph of a function f such that f (x) ≥ 0 on [0, 1] and f (x) ≤ 0 on [1, 2], whose…

A: Consider the function Then and The graph of the function is shown below,

Q: Sketch a graph of the function f(x) = – 3 sin(3x). 4+ -5/6 -2/3 -/2 2t/3 5/6 -1 -2 3.

A: Topic = Graph

Q: For the graph of a function y = f(x) shown on graph, find the absolute maximum and absolute minimum,…

A: Absolute maximum at x=3 and absolute maximum value=7

Q: Select the graph of the given function and determine the interval(s) for which f(x) > 0. Ax) = 16 –…

A: For f(x) = 16 - x² * Since coefficient of x² is negative, Therefore the graph of the parabola of…

Q: Sketch the graph of f(x) = sin¬'(x² + y²) by analyzing its level curves.

A:

Q: sketch to graph the function f(x) = In(x + 2) – 1. %3D

A: f(x)=ln(x+2)-1Now, putting value of x=-1f(-1) =ln(-1+2)-1           [ln1=0]           =0-1…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. g(x) = x +-,4]

A: here we need to find absolute maximum and absolute minimum values of given function . the solution…

Q: Sketch the graph of a function on the interval [3,9] that has an absolute maximum at x=5 and an…

A: Ques:-   Sketch the graph of a function on the            intervel 3,9 that has as absolute…

Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x>0

Q: Find the maximum and minimum values of the following function on the interval [ 0 , 3 ].

A:

Q: sketch the graph of each function and determine whether the function has any absolute extreme values…

A:

Q: Let ƒ be the function given by ƒ(x) = (x-2)²(x+3). For what values of x is f not continuous?

A: The given function is fx=(x-2)2·(x+3)(x-2)·(x+1) We have to find the values of x, for which f is not…

Q: Determine whether the function of f(x) is continuous at x = -1 x2 -1 f(x) ={ x +1 X + -1 -2 X = -1

A:

Q: The total number of local maximum and minimum points of the function whose derivative, for all x, is…

A: 1st derivative of function is f'(X) =x(x-3)^2(x+1)^4 For critical point we must have f'(X)=0 Hence…

Q: Sketch the graph of f(x) = x lxl. Then show that f '(0) exists.

A: A function is a relation which maps each value in domain to exactly one value in range.  For a…

Q: 10. Find a function f such that f'(x) =r' and the line 4x - ļy = 3 is tangent to the graph of f. %3D

A:

Q: If f is a continuous, odd function and f(c) is a relative maximum, then f(-c) is a relative minimum.…

A:

Q: Sketch the graph of a function that satisfies all of thegiven conditions.     f'(x)  and f"(x)  are…

A:

Q: Let f(x) be an EVEN function. If the point (2, 3) belongs to f, then another point likely to belong…

A: Let f(x) be an EVEN function.

Q: Sketch a graph of the function f(x) = 3 sin(3x). 4 -5/6 -2/3 -/2 -T/3 T/2 2t/3 5t/6 -1 -2 -3 3. 2.

A: Sketch a graph of the function  f(x) = -3sin(3x)

Q: What conditions must be satisfied by a function if it is to be con-tinuous at an interior point of…

A: A function is continuous at an interior point c of its domain if

Q: An even function is symmetric with respect to the________

A: An even function is symmetric with respect to the________

Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x> - 1   means f(x) is concave up on both sides of x=-1

Q: Sketch the graph of a continuous function y =f(x) that satisfies the following conditions: 1. f'(x)…

A: This question is about graphing a function

Q: Let f(x)=x^3-4x^2. Find the points on the graph of f where the tangent line is horizontal.

A: f(x) = x3 - 4x2Horizontal tangent when f'(x) = 0differentiate f(x) with respect to 'x'f'(x) = 3x2 -…

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: Find a function f such that f'(x) = x4 and the line 2x - y = 3 is tangent to the graph of f.

A: Given that

Q: Find the absolute minimum and absolute maximum values of f on the given interval f(x) = x - In(2x),…

A: see next step

Q: Show that the function g(x) =x |x | has an inflection point at (0,0) but  g " (0)  does not exist.

A: Given function:                                 g(x)=x|x|   To find out the Inflection point=?…

Q: Sketch a graph of the function f(x) = 4 sin %3D - 1 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 3. 4 6. 7. 8. 9.…

A: We use Trigonometry table to find out some values to draw graph

Q: -, Determine the location and values of the absolute maximum and absolute minimum for the given…

A:

Q: Sketch the graph of a function f that is defined on R and continuous except for the stated…

A: Given the graph of function is defined on R and discontinuous at 0 and 4.

Q: Sketch the graphs of the function f(x) = cos x. y y 2 2 f X 3X -27 2 -2- -2- y y 2- f X -27 - 2 2 -1…

A: We know, cosx = 0, if x =(2n+1)π2; n∈ℤcosx = (-1)n, if x =nπ;  n∈ℤ

Q: Sketch the graph of a differentiable function y f(x) through the point (-2,2) if f'(-2)=0 and…

A: Given: To sketch the graph of the differentiable function function y=f(x) through point (-2, 2) if…

Q: Determine if the function is continuous at the given point. 1 f(x) = {* - (x2 – 2 x 0 at x = 0.

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x3 – 3x +…

A:

Q: Sketch the graph of a differentiable function y = ƒ(x) through thepoint (1, 1) if ƒ'(1) = 0 and…

A: Consider the given condition as f'1=0 and f'x<0 for x<1 and f'x>0 for x>1

Q: Prove without graphing, that the graph of the function has at least two x-intercepts in the…

A:

Q: Find the domain of the function using interval notation. f (x) = -2a (x – 3) (x – 5) | | To enter…

A: soution:-f(x)=-2x(x-3)(x-5)To find the domin of f(x)The domain of a function is the set of all…

Q: By the definition show that f(x) = 2 + |x| is a continuous graph at the origin. Also, show the…

A:

Q: Sketch a graph of the function f(x) = - 4 cos 6+ 4 2 -8л -7л -бл -5л -4л -3л -2л -л) 2л Зл 4л 5л бл…

A: We need to draw the graph of

Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…