[x, – 4 5 x < 0, Let f(x)={1, x = 0, |3х, х >0. (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (e) Is f continuous on its domain?

Q: 2. The graph of a function f is given. Estimate Lf(x)dx using five subintervals with (a) right -1…

A: The graph of a function f is given.  it is not possible to estimate ∫08fxdx using five subintervals…

Q: -. For the function f, f '(x) =x² -1 and f(4) = -1. What is the approximation of f(3.9) found by…

A:

Q: Find k such that the line is tangent to the graph of the function.…

A:

Q: -x/18 flx)= xe [-2.6

A: It is absolute maximum and minimum problem.

Q: let f(x) = 18 square root of x - 3x a. Find all points on the graph of f at which the tangent line…

A: Given f(x)=18squareroot of x-3x Finding the points as shown below

Q: 2. Consider the functions f (x) 1 = - and g(x) = x² – 4 a) Let h(x) = (f ° g)(x). What is h(x)? b)…

A: Given query is to find the composite function and it's domain.

Q: For what values of x does the graph of f have a horizontal tangent? f(x) = x +2sin(x)

A:

Q: 1) For the function f(x)=x³ + 6x² +9x + 5 , determine i) intervals where f is increasing or…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Let f(x)=2x^2-2x+3. Find the x-value(s) where the graph of the function has a horizontal tanger…

A:

Q: For what values of x does the graph of f(x)=2x^3−3x^2−36x−3 have a horizontal tangent line?…

A:

Q: Let f(x) = 18/x - 3x. %3D a. Find all points on the graph of f at which the tangent line is…

A: Let the given function be "y" then, y=18x-3x......(1) We know that the tangent line is horizontal…

Q: 1 For f(x) -x² + x + 2, find: a) the equation of the line that is tangent to the graph of f at the…

A:

Q: Find k so that f has a relative extremum at the point where x = 7. () = * + k k = i

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given: f(x)=tanx4, (0,2π)

Q: Find (a) the intervals of increase or decrease, (b) theintervals of concavity, and (c) the points of…

A: fx=1-xe-x Differentiating with respect to x, we get…

Q: (b) Find the intervals in which the function f(x)=x'+: x* is concave up/concave down. Also find the…

A:

Q: 1) Find all points where f'(x) = 0. Also, graph f (x) and label the points (x, y) that you found. a)…

A: (a).   The given function is: f(x)=x3-4x2+2x-1f'(x)=03x2-8x+2=0x=4+103, x=4-103⇒x=2.387 ,  0.279…

Q: (7) For the function f (x) = 0.25x - 2r3 Find intervals of concavity and inflection points

A: From  first derivative and second derivative of the given function we can answer to this question.

Q: Find k such that the line is tangent to the graph of the function.

A: The function is given as fx=kx......(1) The line is given as y=x+4......(2)

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 2. < OFeedback (Use symbolic…

A: Given: fx=4x

Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

A:

Q: x2 – 4x + 3 - f(æ) = 5. Let x - 3 How could we define f(3) x = 3? so that J is continuous at

A:

Q: Let f(x) 4x + 20x – 8. Find the x-value(s) where the graph of the function has a horizontal tangent…

A:

Q: 7) Find the absolute maximum of the function f on (0,E) S(x)= 10xe

A:

Q: Find the x-value corresponding to the absolute minimum value of f on the given interval. (If an…

A:

Q: A Graphs A and B are approximate graphs of f and f for f(x) x2 So f is increasing (and f is…

A: Using f(x)= x^2-2x+3 we find the f'(x).f'(x)= 2x-2

Q: Why is the following function discontinuous at the given number?\\ f(x) = ln |æ - 21, x = 2\\ (a)…

A:

Q: Let f(x) = 4x 2. (a) Use the limit process to find the slope of the line tangent to the graph of f…

A: Consider the function: fx=4x4-2

Q: Find the intervals of x-values where the function is increasing. f(z) = -– 2 %3D x >1 0 <x <1 O I<0

A: We first find f'(x)

Q: Let f(x) = -3x² – 15x + 3. Find the x-value(s) where the graph of the function has a horizontal…

A: Given function is

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given the function f(x)=sinx2

Q: 43) For f(x) a) Give the domain of f b) Evaluate (-2), (0) and /(3) c) Graphf d) Is f continuous on…

A: To determine the nature of the given function

Q: Let f(x) = (x - 8)(2x +7). Find an equation for the tangent line to the graph of f = 7. at x =…

A:

Q: 1 Find the distance between the two values of x at which the function is discontinuous. x²-3x + 2

A: The function given is ,f(x) = 1x2-3x+2f(x) is discontinous when,x2-3x+2 = 0Using quadratic formula,x…

Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

Q: a + bx, for x > 2 3, for x = 2 - ax?, for x <2 Consider the function f(x) = Determine the values of…

A:

Q: 10 % Let f(x) x- e-(a+1). Find the - second derivative and use it to determine the intervals on…

A:

Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: 1. Given function is, f(x)=x2-9x-3=(x+3)(x-3)(x-3)=x+3 As, the function is a polynomial function and…

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = kVx y = 4x +…

A:

Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

A:

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given:    f'(x)=3(2x−9)2,  5,32

Q: 7. For the function f (x) = In(x² + 1) (a) find all intervals where f is increasing, (b) find all…

A:

Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line.…

A: topic - derivative of a function and point of horizontal tangent line

Q: On the graph of f(x)=sinx and the domain −2π≤x<0, for which of the following intervals is f(x)…

A: f(x)=sinx ,          domain −2π≤x&lt;0    f'(x)=cosxfirst derivative testf'(x)=0cosx=0x=-3π2 &amp;…

Q: Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then…

A: Given, f(x) = 4 + 6x - x2  f'(x) = 0 + 6 -2x                                   (because d(xn)/dx =…

Q: On the graph of f(x)=cosx and the domain 0≤x<2π, for which of the following intervals is f(x)…

A: Topic- graph

Q: tangent

A:

Q: On the graph of f(x) = = 1? Choose all answers that apply. = cscx and the interval [-2n, 0), for…

A:

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing   f(x) = -2…

A: First, we find f'(x).

Q: 7. Determine the equation of the oblique asymptote for the following function. 4x? +7 x – 11 f(x) =…

A: